 3.3.5.1: The equation y = mx + b is called the _____ form of the equation of...
 3.3.2.1: y = 9x + 5 is an equation in _____ variables, x and y.
 3.3.7.1: 2x y 4 4 is a linear _____ in two variables.
 3.3.4.1: The _____ of a line is a measure of the lines steepness. It is the ...
 3.1: Graph the points with coordinates (1, 3), (0, 1.5), (4, 4), 2, 72, ...
 3.3.6.1: y  y1 = m(x  x1)24 is called the ______ form of the equation of a...
 3.3.3.1: The _____ of a line is the point where the line intersects/crosses ...
 3.3.1.1: (7, 1) is called an _____ pair.
 3.3.8.1: A set of ordered pairs is called a ______ .
 3.3.5.2: The graph of the linear equation y = mx + b has ____ (0, b) and ___...
 3.3.2.2: A _____ of an equation in two variables is an ordered pair of numbe...
 3.3.7.2: An ordered pair (x, y) is a ______ of a linear inequality in two va...
 3.3.4.2: m = _______ horizontal change rise change in y.
 3.2: Hawaii. Estimate the coordinates of Oahu using an ordered pair of t...
 3.3.6.2: y = mx + b is called the ______ form of the equation of a line.
 3.3.3.2: The yintercept of a line is the point where the line _____ the ya...
 3.3.1.2: In the ordered pair (2, 5), the coordinate is 2 and the y ______ ...
 3.3.8.2: A ______ is a rule that assigns to each value exactly one yvalue.
 3.3.5.3: Determine whether each equation is in slopeintercept form. a. 7x 4y...
 3.3.2.3: Solutions of equations in two variables are often listed in a _____...
 3.3.7.3: (7, 2) is a solution of x  y > 1. We say that (7, 2) _____ the ine...
 3.3.4.3: The rate of _____ of a linear relationship can be found by finding ...
 3.3: In what quadrant does the point (3, 4) lie?
 3.3.6.3: Determine in what form each equation is written. a. y  4 = 2(x  5...
 3.3.3.3: The graph of y = 4 is a ____ line and the graph of x = 6 is a ____ ...
 3.3.1.3: A rectangular coordinate system is formed by two perpendicular numb...
 3.3.8.3: The set of all input values for a function is called the _____ , an...
 3.3.5.4: a. Fill in the blank: To write a linear equation in two variables i...
 3.3.2.4: The line that represents all of the solutions of a linear equation ...
 3.3.7.4: In the graph, the line 2x  y = 4 is the _____ line. yx2x y = 42x y...
 3.3.4.4: ______ lines do not intersect. _____lines intersect to form four ri...
 3.4: What are the coordinates of the origin?
 3.3.6.4: What point does the graph of each equation pass through, and what i...
 3.3.3.4: The intercept method is useful when graphing linear equations writt...
 3.3.1.4: The x and yaxes divide the coordinate plane into four regions cal...
 3.3.8.4: We can think of a function as a machine that takes some ______ x an...
 3.3.5.5: Simplify the right side of each equation. a. y 4x2162b. y 15x393 y ...
 3.3.2.5: y = 3x + 8 is a equation ______ and its graph is a line.
 3.3.7.5: In the graph, the line 2x  y = 4 divides the coordinate plane into...
 3.3.4.5: Which line graphed has a. a positive slope? b. a negative slope? c....
 3.5: Geometry. Three vertices (corners) of a square are (5, 4), (5, 2...
 3.3.6.5: Refer to the following graph of a line. a. What highlighted point d...
 3.3.3.5: Fill in the blanks. a. To find the yintercept of the graph of a li...
 3.3.1.5: The point with coordinates (4, 2) can be graphed on a ______ coordi...
 3.3.8.5: If (2) = 3, we call 3 a function ______ .
 3.3.5.6: Find the slope and intercept of each line graphed below. Then use ...
 3.3.2.6: The _____ form of a linear equation in two variables is Ax + By = C.
 3.3.7.6: When graphing a linear inequality, we determine which halfplane to...
 3.3.4.6: Consider each graph of a line and the slope triangle. What is the r...
 3.6: College Enrollments. The graph gives the number of students enrolle...
 3.3.6.6: On a quiz, a student was asked to write the equation of a line with...
 3.3.3.6: Complete the table of solutions and fill in the blanks. 3x 2y 6 02y...
 3.3.1.6: The process of locating the position of a point on a coordinate pla...
 3.3.8.6: The graph of a _____ function is a straight line and the graph of a...
 3.3.5.7: Complete the solution by solving the equation for y. Then find the ...
 3.3.2.7: Consider: y =  3x + 6. a. How many variables does the equation con...
 3.3.7.7: Determine whether (3, 5) 5x is a solution of 5x 3y 0.
 3.3.4.7: For each graph, determine which line has the greater slope. a. yLin...
 3.7: Is (3, 2) a solution of y 2x 4?
 3.3.6.7: Suppose you are asked to write an equation of the line in thescatte...
 3.3.3.7: a. Refer to the graph. Which intercept tells the purchase price of ...
 3.3.1.7: a. To plot (5, 4), we start at the ____ and move 5 units to the ___...
 3.3.8.7: Federal Minimum Hourly Wage. The following table is an example of a...
 3.3.8.8: The arrow diagram describes a function. What is the domain and what...
 3.3.5.8: What is the slopeintercept form of the equation of a line?
 3.3.2.8: To graph a linear equation, three solutions were found, they were p...
 3.3.7.8: Determine whether (3, 1) x is a solution of (3, 1) x 4y 1. (3
 3.3.4.8: Which two labeled points should be used to find the slope of the li...
 3.8: Complete the table of solutions. 3x 2y 1832yx (x, y)y
 3.3.6.8: In each case, a linear relationship between two quantities is descr...
 3.3.3.8: Match each graph with its equation. a. x 2 y b. y 2 y c. y 2x d. 2x...
 3.3.1.8: In which quadrant is each point located? a. (2, 7) 2 b. 112, 1516 c...
 3.3.8.9: For the given input, what value will the function machine output? 5...
 3.3.5.9: Fill in the blanks: 32 3 2y
 3.3.2.9: The graph of y = 2x  3 is shown in 8. Fill in the blanks: Every p...
 3.3.7.9: Fill in the blanks: A ____ line indicates that points on the bounda...
 3.3.4.9: a. Find the slope of the line below using the points in black. b. F...
 3.9: Which of the following equations are not linear equations? 8x 2y 6 ...
 3.3.6.9: Complete the solution. Find an equation of the line with slope that...
 3.3.3.9: What is the equation of the xaxis? What is the equation of the ya...
 3.3.1.9: a. In which quadrants are the second coordinates of points positive...
 3.3.8.10: a. Fill in the blank: If a line intersects a graph in more than one...
 3.3.5.10: Determine whether each statement is true or false. a. x6 16xb. 53x 5x3
 3.3.2.10: The graph of a linear equation is shown. a. If the coordinates of p...
 3.3.7.10: The boundary for the graph of a linear inequality is shown. Why can...
 3.3.4.10: Evaluate each expression. a. 10 46 5b. 1 12 (7)10
 3.10: The graph of a linear equation is shown. a. When the coordinates of...
 3.3.6.10: What is the pointslope form of the equation of a line?
 3.3.3.10: Write the coordinates that are improper fractions as mixed numbers....
 3.3.1.10: Farming. The number of bushels of wheat produced per acre depends o...
 3.3.8.11: We read (x) 5x 6 ______ as is minus 6.
 3.3.5.11: Find the slope and the yintercept of the line with the given equat...
 3.3.2.11: Suppose you are making a table of solutions for each given equation...
 3.3.7.11: If a false statement results when the coordinates of a test point a...
 3.3.4.11: Write each slope in a better way. a. m 06b. m 80 m c. m 312d. m 105 m
 3.11: Graph each equation by constructing a table of solutions. y 4x 2 x
 3.3.6.11: Consider the steps below and then fill in the blanks: y 3 2(x 1)y y...
 3.3.3.11: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.11: Explain the difference between (3, 5) and 3(5).
 3.3.8.12: Since y = ________ , the following two equations are equivalent: y ...
 3.3.5.12: Find the slope and the yintercept of the line with the given equat...
 3.3.2.12: A table of solutions for a linear equation is shown below. When con...
 3.3.7.12: A linear inequality has been graphed. Determine whether each point ...
 3.3.4.12: Fill in the blanks: _____ lines have a slope of 0. Vertical lines h...
 3.12: Graph each equation by constructing a table of solutions. y 34 x
 3.3.6.12: Fill in the blanks: The equation of a horizontal line has the form ...
 3.3.3.12: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.12: In a paireddata table, does the first or second column contain val...
 3.3.8.13: The notation (4) 5 x indicates that when the xvalue is input into ...
 3.3.5.13: Find the slope and the yintercept of the line with the given equat...
 3.3.2.13: Complete each solution. Verify that is a solution of y x 4 6. 6 6 4...
 3.3.7.13: A linear inequality has been graphed. Determine whether each point ...
 3.3.4.13: The grade of an incline is its slope expressed as a percent. Expres...
 3.13: Graph each equation by constructing a table of solutions. 5y 5x 15 ...
 3.3.6.13: Use the pointslope form to write an equation of the line with the g...
 3.3.3.13: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.13: Do these ordered pairs name the same point? 2.5, , 2 72 2, 2 2 12 1...
 3.3.1.14: Do (3, 2) and (2, 3) represent the same point?
 3.3.8.14: When graphing the function (x) x 5, the vertical axis of the coordi...
 3.3.5.14: Find the slope and the yintercept of the line with the given equat...
 3.3.2.14: Complete each solution. Solve 5x 3y 15 for y. 5x 3y 5x 15 5x 15 5 3...
 3.3.7.14: To graph linear inequalities, we must be able to graph boundary lin...
 3.3.4.14: Growth Rates. The graph shows how a childs height increased from ag...
 3.14: Graph each equation by constructing a table of solutions. 6y 4x y (...
 3.3.6.14: Use the pointslope form to write an equation of the line with the g...
 3.3.3.14: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.15: In the ordered pair (4, 5), is the number 4 associated with the hor...
 3.3.8.15: Find the domain and range of each relation. See Example 1. {(6, 1),...
 3.3.5.15: Find the slope and the yintercept of the line with the given equat...
 3.3.2.15: a. In the linear equation y 12 x 7what are the understood exponents...
 3.3.7.15: Write the meaning of each symbol in words. a. b. c. d. ?
 3.3.4.15: Find the negative reciprocal of each number. a. 6 b. 78c. 1
 3.15: Birthday Parties. A restaurant offers a party package for children ...
 3.3.6.15: Use the pointslope form to write an equation of the line with the g...
 3.3.3.15: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.16: Fill in the blank: In the notation , the capital letter is used to ...
 3.3.8.16: Find the domain and range of each relation. See Example 1. {(11, 3)...
 3.3.5.16: Find the slope and the yintercept of the line with the given equat...
 3.3.2.16: Complete the labeling of the table of solutions and the axes of the...
 3.3.7.16: a. When graphing linear inequalities, which inequality symbols are ...
 3.3.4.16: Fill in the blanks. a. Two different lines with the same slope are ...
 3.16: Determine whether each statement is true or false. a. It takes thre...
 3.3.6.16: Use the pointslope form to write an equation of the line with the g...
 3.3.3.16: Give the coordinates of the intercepts of each graph. See Example 1...
 3.3.1.17: Plot each point: (3, 4), (4, 3.5), 12, 52 2, (0, 4), 132, 02, (2.7,...
 3.3.8.17: Find the domain and range of each relation. See Example 1. {(0, 9),...
 3.3.5.17: Find the slope and the yintercept of the line with the given equat...
 3.3.2.17: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.17: Fill in the blanks: The inequality 4x 2y 9 means 4x 2y 9 or 4x 2y 9
 3.3.4.17: a. What is the formula used to find the slope of a line passing thr...
 3.17: Identify the  and intercepts of the graph shown in figure (a) bel...
 3.3.6.17: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.17: Estimate the coordinates of the intercepts of each graph. (Some are...
 3.3.1.18: Plot each point: (4, 4), (0.5, 3), (3.9, 3.2), (0, 1), (0, 0), (0, ...
 3.3.8.18: Find the domain and range of each relation. See Example 1. {(1, 12)...
 3.3.5.18: Find the slope and the yintercept of the line with the given equat...
 3.3.2.18: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.18: Fill in the blanks: The inequality x 8y 14 means x 8y 1 or x 8y 1.x
 3.3.4.18: Explain the difference between y2 and y2.
 3.18: Depreciation. The graph in figure (b) above shows how the value of ...
 3.3.6.18: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.18: Estimate the coordinates of the intercepts of each graph. (Some are...
 3.3.1.19: Complete the coordinates for each point in figure (a) below. a. yx ...
 3.3.8.19: Determine whether the relation defines to be a function of . If a f...
 3.3.5.19: Find the slope and the yintercept of the line with the given equat...
 3.3.2.19: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.19: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.19: Consider the points (7, 2) and (4, 1). If we let x1 7, then what is...
 3.19: Use the intercept method to graph each equation. 4x 2y 8Th
 3.3.6.19: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.19: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.20: Find the coordinates of points A, B, C, D, E and F in figure (b) ab...
 3.3.8.20: Determine whether the relation defines to be a function of . If a f...
 3.3.5.20: Find the slope and the yintercept of the line with the given equat...
 3.3.2.20: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.20: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.20: The symbol is used when graphing to indicate a _____ in the labelin...
 3.20: Use the intercept method to graph each equation. 5x 4y 13
 3.3.6.20: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.20: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.21: The following graph gives the heart rate of a woman before, during,...
 3.3.8.21: Determine whether the relation defines to be a function of . If a f...
 3.3.5.21: Find the slope and the yintercept of the line with the given equat...
 3.3.2.21: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.21: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.21: Find the slope of each line. See Example 1. yx 1111234234234
 3.21: Use the intercept method to graph each equation. Graph: y = 4
 3.3.6.21: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.21: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.3.22: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.22: The following graph gives the heart rate of a woman before, during,...
 3.3.8.22: Determine whether the relation defines to be a function of . If a f...
 3.3.5.22: Find the slope and the yintercept of the line with the given equat...
 3.3.2.22: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.22: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.22: Find the slope of each line. See Example 1. yx 1111234234234 2 3 4
 3.22: Use the intercept method to graph each equation. Graph: x = 1
 3.3.6.22: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.23: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.23: The following graph gives the heart rate of a woman before, during,...
 3.3.8.23: Determine whether the relation defines to be a function of . If a f...
 3.3.5.23: Find the slope and the yintercept of the line with the given equat...
 3.3.2.23: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.23: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.23: Find the slope of each line. See Example 1. yx 1111234234234 2 3 4
 3.23: In each case, find the slope of the line. y1111234234234 2 3 4
 3.3.6.23: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.24: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.24: The following graph gives the heart rate of a woman before, during,...
 3.3.8.24: Determine whether the relation defines to be a function of . If a f...
 3.3.5.24: Find the slope and the yintercept of the line with the given equat...
 3.3.2.24: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.24: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.24: Find the slope of each line. See Example 1. yx 1111234523234 2 3 4
 3.24: In each case, find the slope of the line. y1111234234234 2 3 4
 3.3.6.24: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.25: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.25: The following graph shows the depths of a submarine at certain time...
 3.3.8.25: Determine whether the relation defines to be a function of . If a f...
 3.3.5.25: Find the slope and the yintercept of the line with the given equat...
 3.3.2.25: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.25: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.25: Find the slope of each line. See Example 1. yx 1111223456234 2 3 4
 3.25: The line with this table of solutions: 24 17 (4, 17)3 (2, 3)yx
 3.3.6.25: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.26: Find the x and yintercepts of the graph of each equation. Do not ...
 3.3.1.26: The following graph shows the depths of a submarine at certain time...
 3.3.8.26: Determine whether the relation defines to be a function of . If a f...
 3.3.5.26: Find the slope and the yintercept of the line with the given equat...
 3.3.2.26: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.26: Determine whether each ordered pair is a solution of the given ineq...
 3.3.4.26: Find the slope of each line. See Example 1. yx 1111234234234 2 3 4
 3.26: The line passing through the points (1, 4) and (3, 7).
 3.3.6.26: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.27: Use the intercept method to graph each equation. See Example 2. 4x ...
 3.3.1.27: The following graph shows the depths of a submarine at certain time...
 3.3.8.27: Determine whether the relation defines to be a function of . If a f...
 3.3.5.27: Find the slope and the yintercept of the line with the given equat...
 3.3.2.27: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.27: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.27: Find the slope of each line. See Example 1. yx 1111234562234 2 3 4
 3.27: Draw a line having a slope that is a. Positive b. Negative c. 0 d. ...
 3.3.6.27: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.28: Use the intercept method to graph each equation. See Example 2. 3x ...
 3.3.1.28: The following graph shows the depths of a submarine at certain time...
 3.3.8.28: Determine whether the relation defines to be a function of . If a f...
 3.3.5.28: Find the slope and the yintercept of the line with the given equat...
 3.3.2.28: Determine whether each equation has the given ordered pair as a sol...
 3.3.7.28: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.28: Find the slope of each line. See Example 1. yx 1111234234234 2 3 4
 3.28: Carpentry. If a truss like the one shown below is used to build the...
 3.3.6.28: Use the pointslope form to find an equation of the line with the gi...
 3.3.3.29: Use the intercept method to graph each equation. See Example 2. 5x ...
 3.3.1.29: Bridge Construction. Find the coordinates of each rivet, weld, and ...
 3.3.8.29: Determine whether the relation defines to be a function of . If a f...
 3.3.5.29: Find the slope and the yintercept of the line with the given equat...
 3.3.2.29: For each equation, complete the solution. See Example 2. y 5x 4; (3...
 3.3.7.29: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.29: Find the slope of each line. See Example 1. x 1111234234234 2 3 4
 3.29: Ramps. Find the grade of the ramp shown below. Round to the nearest...
 3.3.6.29: Find an equation of the line that passes through the two given poin...
 3.3.3.30: Use the intercept method to graph each equation. See Example 2. 8x ...
 3.3.1.30: Golf. A golfer is videotaped and then has her swing displayedon a c...
 3.3.8.30: Determine whether the relation defines to be a function of . If a f...
 3.3.5.30: Find the slope and the yintercept of the line with the given equat...
 3.3.2.30: For each equation, complete the solution. See Example 2. y 8x 30; (...
 3.3.7.30: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.30: Find the slope of each line. See Example 1. x 1111234234234 2 3 4
 3.30: Bottled Water. Refer to the graph below. Find the rate ofchange in ...
 3.3.6.30: Find an equation of the line that passes through the two given poin...
 3.3.3.31: Use the intercept method to graph each equation. See Example 2. x y...
 3.3.1.31: Games. In the game Battleship, players use coordinates to drop dept...
 3.3.8.31: Determine whether the relation defines to be a function of . If a f...
 3.3.5.31: Find the slope and the yintercept of the line with the given equat...
 3.3.2.31: For each equation, complete the solution. See Example 2. 4x 5y 4; (...
 3.3.7.31: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.31: Find the slope of each line. See Example 1. yx 11112234562 2 3 4 5 6
 3.31: Without graphing, determine whether the line that passes through (6...
 3.3.6.31: Find an equation of the line that passes through the two given poin...
 3.3.6.32: Find an equation of the line that passes through the two given poin...
 3.3.3.32: Use the intercept method to graph each equation. See Example 2. x y 35
 3.3.1.32: Maps. Use coordinates of the form (number, letter) to locate each o...
 3.3.8.32: Determine whether the relation defines to be a function of . If a f...
 3.3.5.32: Find the slope and the yintercept of the line with the given equat...
 3.3.2.32: For each equation, complete the solution. See Example 2. 7x y 12; (...
 3.3.7.32: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.32: Find the slope of each line. See Example 1. yx 11112345622 2 3 4 5 6
 3.32: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.33: Find an equation of the line that passes through the two given poin...
 3.3.3.33: Use the intercept method to graph each equation. See Example 2. x 2...
 3.3.1.33: Dental Assistant Dentists describe teeth as being located in one of...
 3.3.8.33: Determine whether the relation defines to be a function of . If a f...
 3.3.5.33: Find the slope and the yintercept of the line with the given equat...
 3.3.2.33: For each equation, complete the solution. See Example 2. y ) x4 9; ...
 3.3.7.33: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.33: Find the slope of the line passing through the given points. See Ex...
 3.33: Find the slope and the yintercept of each line. y 34x 2
 3.3.6.34: Find an equation of the line that passes through the two given poin...
 3.3.3.34: Use the intercept method to graph each equation. See Example 2. x 2...
 3.3.1.34: Geography. A coordinate system that describes the location of any p...
 3.3.8.34: Determine whether the relation defines to be a function of . If a f...
 3.3.5.34: Find the slope and the yintercept of the line with the given equat...
 3.3.2.34: For each equation, complete the solution. See Example 2. y x6 y 8; ...
 3.3.7.34: Complete the graph by shading the correct side of the boundary. See...
 3.3.4.34: Find the slope of the line passing through the given points. See Ex...
 3.34: Find the slope and the yintercept of each line. y = 4x
 3.3.6.35: Find an equation of the line that passes through the two given poin...
 3.3.3.35: Use the intercept method to graph each equation. See Example 3. 30x...
 3.3.1.35: Water Pressure. The graphs show how the path of a stream of water c...
 3.3.8.35: Find each function value. See Examples 3 and 4. (x) 4x 1a. (1) b. (...
 3.3.5.35: Find the slope and the yintercept of the line with the given equat...
 3.3.2.35: For each equation, complete the solution. See Example 2. 7x 4y; 1 ,...
 3.3.7.35: Graph each inequality. See Examples 2 and 3. x y 3
 3.3.4.35: Find the slope of the line passing through the given points. See Ex...
 3.35: Find the slope and the yintercept of each line. y x8 10y
 3.3.6.36: Find an equation of the line that passes through the two given poin...
 3.3.3.36: Use the intercept method to graph each equation. See Example 3. 20x...
 3.3.1.36: Area. Three vertices (corners) of a rectangle are (2, 1), (6, 1) an...
 3.3.8.36: Find each function value. See Examples 3 and 4. (x) 1 5x a. (0) b. ...
 3.3.5.36: Find the slope and the yintercept of the line with the given equat...
 3.3.2.36: For each equation, complete the solution. See Example 2. 11x 16y; 1...
 3.3.7.36: Graph each inequality. See Examples 2 and 3. x y 2
 3.3.4.36: Find the slope of the line passing through the given points. See Ex...
 3.36: Find the slope and the yintercept of each line. 7x 5y 21y
 3.3.6.37: Find an equation of the line that passes through the two given poin...
 3.3.3.37: Use the intercept method to graph each equation. See Example 3. 4x ...
 3.3.1.37: Area. Three vertices (corners) of a right triangle are (1, 7), (...
 3.3.8.37: Find each function value. See Examples 3 and 4. (x) 2x2a. (0.4) b. ...
 3.3.5.37: Find the slope and the yintercept of the line with the given equat...
 3.3.2.37: Complete each table of solutions. See Example 3. y 2x 4 38
 3.3.7.37: Graph each inequality. See Examples 2 and 3. 3x 4y 12 5
 3.3.4.37: Find the slope of the line passing through the given points. See Ex...
 3.37: Graph the line with slope 4 and yintercept (0, 1). Write an equa...
 3.3.6.38: Find an equation of the line that passes through the two given poin...
 3.3.3.38: Use the intercept method to graph each equation. See Example 3. 6x ...
 3.3.1.38: Landmarks. A scale model of the block letter H in the Hollywood sig...
 3.3.8.38: Find each function value. See Examples 3 and 4. g(x) 6 x2 5 a. g(30...
 3.3.5.38: Find the slope and the yintercept of the line with the given equat...
 3.3.2.38: Complete each table of solutions. See Example 3. y 3x 1 7
 3.3.7.38: Graph each inequality. See Examples 2 and 3. 5x 4y 20
 3.3.4.38: Find the slope of the line passing through the given points. See Ex...
 3.38: Write an equation for the line shown here. yx 11234 1123423234
 3.3.6.39: Find an equation of the line that passes through the two given poin...
 3.3.3.39: Use the intercept method to graph each equation. See Example 4. 3x ...
 3.3.1.39: Trucks. The table below shows the number of miles that an 18wheel ...
 3.3.8.39: Find each function value. See Examples 3 and 4. h(x) 0 x 7 0 a. h(0...
 3.3.5.39: Find the slope and the yintercept of the line with the given equat...
 3.3.2.39: Complete each table of solutions. See Example 3. 3x y 2
 3.3.7.39: Graph each inequality. See Examples 2 and 3. 2x 3y 12 3x
 3.3.4.39: Find the slope of the line passing through the given points. See Ex...
 3.39: Find the slope and the intercept of the line whose equation is 9x ...
 3.3.6.40: Find an equation of the line that passes through the two given poin...
 3.3.3.40: Use the intercept method to graph each equation. See Example 4. 2x ...
 3.3.1.40: Boating. The table below shows the cost to rent a sailboat for a gi...
 3.3.8.40: Find each function value. See Examples 3 and 4. (x) 0 2 x a. (0) b....
 3.3.5.40: Find the slope and the yintercept of the line with the given equat...
 3.3.2.40: Complete each table of solutions. See Example 3. 5x 2y 15
 3.3.7.40: Graph each inequality. See Examples 2 and 3. 3x 2y 63
 3.3.4.40: Find the slope of the line passing through the given points. See Ex...
 3.40: Copiers. A business buys a used copy machine that has already produ...
 3.3.6.41: Write an equation of each line. See Example 3. Vertical, passes thr...
 3.3.3.41: Use the intercept method to graph each equation. See Example 4. 9x ...
 3.3.1.41: Depreciation. The table below shows the value (in thousands of doll...
 3.3.8.41: Find each function value. See Examples 3 and 4. g(x) x3 x a. g(1) b...
 3.3.5.41: Find the slope and the yintercept of the line with the given equat...
 3.3.2.41: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.41: Graph each inequality. See Examples 2 and 3. y 2x 1 y
 3.3.4.41: Find the slope of the line passing through the given points. See Ex...
 3.41: Without graphing, determine whether graphs of the given pairs of li...
 3.3.6.42: Write an equation of each line. See Example 3. Vertical, passes thr...
 3.3.3.42: Use the intercept method to graph each equation. See Example 4. 5x ...
 3.3.1.42: Swimming. The table below shows the number of people at a public sw...
 3.3.8.42: Find each function value. See Examples 3 and 4. g(x) x4 x a. g(1) b...
 3.3.5.42: Find the slope and the yintercept of the line with the given equat...
 3.3.2.42: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.42: Graph each inequality. See Examples 2 and 3. y x 1
 3.3.4.42: Find the slope of the line passing through the given points. See Ex...
 3.42: Without graphing, determine whether graphs of the given pairs of li...
 3.3.6.43: Write an equation of each line. See Example 3. Horizontal, passes t...
 3.3.3.43: Use the intercept method to graph each equation. See Example 4. 3x ...
 3.3.1.43: Explain why the point (3, 3) is not the same as the point (3, 3).
 3.3.8.43: Find each function value. See Examples 3 and 4. s(x) (x 3)2 a. s(3)...
 3.3.5.43: Write an equation of the line with the given slope and yintercept ...
 3.3.2.43: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.43: Graph each inequality. See Examples 2 and 3. y 3x 2
 3.3.4.43: Find the slope of the line passing through the given points. See Ex...
 3.43: Find an equation of the line with the given slope that passes throu...
 3.3.6.44: Write an equation of each line. See Example 3. Horizontal, passes t...
 3.3.3.44: Use the intercept method to graph each equation. See Example 4. 5x ...
 3.3.1.44: Explain how to plot the point (2, 5).
 3.3.8.44: Find each function value. See Examples 3 and 4. s(x) (x 8)2 a. s(8)...
 3.3.5.44: Write an equation of the line with the given slope and yintercept ...
 3.3.2.44: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.44: Graph each inequality. See Examples 2 and 3. y 2x 5
 3.3.4.44: Find the slope of the line passing through the given points. See Ex...
 3.44: Find an equation of the line with the given slope that passes throu...
 3.3.6.45: Graph the line that passes through the given point and has the give...
 3.3.3.45: Use the intercept method to graph each equation. See Example 4. 9x ...
 3.3.1.45: Use the Internet to perform a search of the name Ren Descartes. Aft...
 3.3.8.45: If (x) 3.4x 2 1.2x 0.5, find (0.3).
 3.3.5.45: Write an equation of the line with the given slope and yintercept ...
 3.3.2.45: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.45: Graph each inequality. See Examples 2 and 3. y 132x 1 enc
 3.3.4.45: Find the slope of the line passing through the given points. See Ex...
 3.45: Find an equation of the line with the following characteristics. Wr...
 3.3.6.46: Graph the line that passes through the given point and has the give...
 3.3.3.46: Use the intercept method to graph each equation. See Example 4. 4x ...
 3.3.1.46: Explain this diagram. II(, +)I(+, +)III(, )IV(+, )
 3.3.8.46: If g(x) x 4 x3 x2 x find g(12)
 3.3.5.46: Write an equation of the line with the given slope and yintercept ...
 3.3.2.46: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.46: Graph each inequality. See Examples 2 and 3. y x3 y 13
 3.3.4.46: Find the slope of the line passing through the given points. See Ex...
 3.46: Find an equation of the line with the following characteristics. Wr...
 3.3.6.47: Graph the line that passes through the given point and has the give...
 3.3.3.47: Use the intercept method to graph each equation. See Example 5. 3x ...
 3.3.1.47: Solve AC h 23h Tfor h.
 3.3.8.47: Complete each table of function values and then graph each function...
 3.3.5.47: Write an equation of the line with the given slope and yintercept ...
 3.3.2.47: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.47: Graph each inequality. See Examples 2 and 3. x 2y 4 4x
 3.3.4.47: Find the slope of the line passing through the given points. See Ex...
 3.47: Car Registration. When it was 2 years old, the annual registration ...
 3.3.6.48: Graph the line that passes through the given point and has the give...
 3.3.3.48: Use the intercept method to graph each equation. See Example 5. 4x ...
 3.3.1.48: Solve 5(x 1) 2(x 3). Write the solution set in interval notation an...
 3.3.8.48: Complete each table of function values and then graph each function...
 3.3.5.48: Write an equation of the line with the given slope and yintercept ...
 3.3.2.48: Construct a table of solutions and then graph each equation. See Ex...
 3.3.7.48: Graph each inequality. See Examples 2 and 3. 4x y 4
 3.3.4.48: Find the slope of the line passing through the given points. See Ex...
 3.48: The Atmosphere. The scatter diagram below shows the amount of carbo...
 3.3.6.49: Graph the line that passes through the given point and has the give...
 3.3.3.49: Use the intercept method to graph each equation. See Example 5. 2x ...
 3.3.1.49: Evaluate: 4(4 2) 230 12 4(5) 05(x
 3.3.8.49: Complete each table of function values and then graph each function...
 3.3.5.49: Write an equation of the line with the given slope and yintercept ...
 3.3.2.49: Solve each equation for y and then graph it. See Example 6. 2x 3y 3 2x
 3.3.7.49: Graph each inequality. See Examples 2 and 3. 2y x 8 y
 3.3.4.49: Find the slope of the line passing through the given points. See Ex...
 3.49: Determine whether each ordered pair is a solution of 2x y 4 a. (0, ...
 3.3.6.50: Graph the line that passes through the given point and has the give...
 3.3.3.50: Use the intercept method to graph each equation. See Example 5. 6x ...
 3.3.1.50: Simplify: 2454
 3.3.8.50: Complete each table of function values and then graph each function...
 3.3.5.50: Write an equation of the line with the given slope and yintercept ...
 3.3.2.50: Solve each equation for y and then graph it. See Example 6. 2x 3y 9
 3.3.7.50: Graph each inequality. See Examples 2 and 3. y 9x 3
 3.3.4.50: Find the slope of the line passing through the given points. See Ex...
 3.50: Fill in the blanks: 2x 3y 6 means 2x 3y 6 or 2x 3y 6.
 3.3.6.51: Graph the line that passes through the given point and has the give...
 3.3.3.51: Graph each equation. See Examples 6 and 7. y 5 y
 3.3.1.51: In what quadrant does a point lie if the sum of its coordinates is ...
 3.3.8.51: Graph each function. See Examples 5 and 6. (x) x 312x 2
 3.3.5.51: Write an equation of the line with the given slope and yintercept ...
 3.3.2.51: Solve each equation for y and then graph it. See Example 6. 5y x 20 4y
 3.3.7.51: Graph each inequality. See Examples 2 and 3. 7x 2y 21 3x
 3.3.4.51: Find the slope of the line passing through the given points. See Ex...
 3.51: Graph each inequality. x y 5 2
 3.3.6.52: Graph the line that passes through the given point and has the give...
 3.3.3.52: Graph each equation. See Examples 6 and 7. y 32
 3.3.1.52: Draw line segment AB with endpoints A(6, 5) and B(4, 5). Suppose th...
 3.3.8.52: Graph each function. See Examples 5 and 6. (x) 23 (x) x 3
 3.3.5.52: Write an equation of the line with the given slope and yintercept ...
 3.3.2.52: Solve each equation for y and then graph it. See Example 6. 4y x 8 2
 3.3.7.52: Graph each inequality. See Examples 2 and 3. 3x 3y 102
 3.3.4.52: Find the slope of the line passing through the given points. See Ex...
 3.52: Graph each inequality. 2x 3y 6
 3.3.6.53: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.53: Graph each equation. See Examples 6 and 7. y 0 x
 3.3.8.53: Graph each function. See Examples 5 and 6. h(x) 0 x 0 g
 3.3.5.53: Write an equation of the line with the given slope and yintercept ...
 3.3.2.53: Graph each equation. Solve for y first, when necessary. y x y
 3.3.7.53: Graph each inequality. See Examples 2 and 3. 2x 3y 4 4
 3.3.4.53: Find the slope of the line passing through the given points. See Ex...
 3.53: Graph each inequality. y 2x
 3.3.6.54: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.54: Graph each equation. See Examples 6 and 7. x 0
 3.3.8.54: Graph each function. See Examples 5 and 6. g(x) 0 x 0 2
 3.3.5.54: Write an equation of the line with the given slope and yintercept ...
 3.3.2.54: Graph each equation. Solve for y first, when necessary. y 4x
 3.3.7.54: Graph each inequality. See Examples 2 and 3. 4x 3y 6
 3.3.4.54: Find the slope of the line passing through the given points. See Ex...
 3.54: Graph each inequality. y 4
 3.3.6.55: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.55: Graph each equation. See Examples 6 and 7. x 2 x
 3.3.8.55: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.55: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.55: Graph each equation. Solve for y first, when necessary. y x 1 y x
 3.3.7.55: Graph each inequality. See Example 4. y 2x
 3.3.4.55: Find the slope of the line passing through the given points. See Ex...
 3.55: The graph of a linear inequality is shown in the next column.Would ...
 3.3.6.56: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.56: Graph each equation. See Examples 6 and 7. x 5
 3.3.8.56: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.56: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.56: Graph each equation. Solve for y first, when necessary. y x 2y
 3.3.7.56: Graph each inequality. See Example 4. y 3x
 3.3.4.56: Find the slope of the line passing through the given points. See Ex...
 3.56: Work Schedules. A student told her employer that during the school ...
 3.3.6.57: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.57: Graph each equation. See Examples 6 and 7. x 43
 3.3.8.57: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.57: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.57: Graph each equation. Solve for y first, when necessary. 3y 12x 15 5
 3.3.7.57: Graph each inequality. See Example 4. y y x x2
 3.3.4.57: Determine the slope of the graph of the line that has the given tab...
 3.57: Find the domain and range of each relation. {(7, 3), (5, 9), (4, 4)...
 3.3.6.58: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.58: Graph each equation. See Examples 6 and 7. y 12 x
 3.3.8.58: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.58: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.58: Graph each equation. Solve for y first, when necessary. 5y 20x 30 y
 3.3.7.58: Graph each inequality. See Example 4. x
 3.3.4.58: Determine the slope of the graph of the line that has the given tab...
 3.58: Find the domain and range of each relation. {(2, 2), (15, 8), (6, 9...
 3.3.6.59: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.59: Graph each equation. See Examples 6 and 7. y 2 0 y (Hint: Solve for...
 3.3.8.59: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.59: Write an equation for each line shown below. See Example 3. 1111234...
 3.3.2.59: Graph each equation. Solve for y first, when necessary. y x 238x 63
 3.3.7.59: Graph each inequality. See Example 4. y x 0
 3.3.4.59: Determine the slope of the graph of the line that has the given tab...
 3.59: Determine whether each relation defines y to be function of x. If a...
 3.3.6.60: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.60: Graph each equation. See Examples 6 and 7. x 1 0 x (Hint: Solve for...
 3.3.8.60: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.60: Write an equation for each line shown below. See Example 3. 1111234...
 3.3.2.60: Graph each equation. Solve for y first, when necessary. y 32 y x 23
 3.3.7.60: Graph each inequality. See Example 4. y x 0
 3.3.4.60: Determine the slope of the graph of the line that has the given tab...
 3.60: Determine whether each relation defines y to be function of x. If a...
 3.3.6.61: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.61: Graph each equation. See Examples 6 and 7. 5x 7.5 x (Hint: Solve fo...
 3.3.8.61: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.61: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.61: Graph each equation. Solve for y first, when necessary. y 1.5x 4 y
 3.3.7.61: Graph each inequality. See Example 4. 5x 3y 0
 3.3.4.61: Find the slope of each line. See Examples 4 and 5. y = 11
 3.61: Determine whether each relation defines y to be function of x. If a...
 3.3.6.62: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.62: Graph each equation. See Examples 6 and 7. 3y 4.5 (Hint: Solve for ...
 3.3.8.62: Determine whether each graph is the graph of a function. If it is n...
 3.3.5.62: Write an equation for each line shown below. See Example 3. y111123...
 3.3.2.62: Graph each equation. Solve for y first, when necessary. y 0.5x 3
 3.3.7.62: Graph each inequality. See Example 4. 2x 5y 0
 3.3.4.62: Find the slope of each line. See Examples 4 and 5. y = 2
 3.62: Determine whether each relation defines y to be function of x. If a...
 3.3.6.63: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.63: Graph each equation. 7x 4y 12 7x
 3.3.8.63: Reflections. When a beam of light hits a mirror, it is reflected of...
 3.3.5.63: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.63: Graph each equation. Solve for y first, when necessary. 8x 4y 16 1
 3.3.7.63: Graph each inequality. See Example 5. x 2
 3.3.4.63: Find the slope of each line. See Examples 4 and 5. y = 0
 3.63: Determine whether each relation defines y to be function of x. If a...
 3.3.6.64: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.64: Graph each equation. 7x 5y 158
 3.3.8.64: Lightning. The function D(t) t5 gives the approximate distance in m...
 3.3.5.64: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.64: Graph each equation. Solve for y first, when necessary. 14x 7y 28
 3.3.7.64: Graph each inequality. See Example 5. y 3
 3.3.4.64: Find the slope of each line. See Examples 4 and 5. x = 0
 3.64: Determine whether each relation defines y to be function of x. If a...
 3.3.6.65: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.65: Graph each equation. 4x 3y 12 5x
 3.3.8.65: Vacationing. The function C(d) 500 100(d 3) gives the cost in dolla...
 3.3.5.65: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.65: Graph each equation. Solve for y first, when necessary. y x 12x8
 3.3.7.65: Graph each inequality. See Example 5. y 1 x
 3.3.4.65: Find the slope of each line. See Examples 4 and 5. x = 6
 3.65: The set of all input values for a function is called the _____, and...
 3.3.6.66: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.66: Graph each equation. 5x 10y 207
 3.3.8.66: Structural Engineering. The maximum safe load in pounds of the rect...
 3.3.5.66: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.66: Graph each equation. Solve for y first, when necessary. y 34 y x 1
 3.3.7.66: Graph each inequality. See Example 5. x 4
 3.3.4.66: Find the slope of each line. See Examples 4 and 5. x = 4
 3.66: Fill in the blank: Since y y the equations a y 2x 8D and (x) 2x 8y ...
 3.3.6.67: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.67: Graph each equation. x 534
 3.3.8.67: Lawn Sprinklers. The function A(r) pr2 can be used to determine the...
 3.3.5.67: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.67: Graph each equation. Solve for y first, when necessary. y x 256x 5y
 3.3.7.67: Graph each inequality. See Example 5. y 2.5 0
 3.3.4.67: Find the slope of each line. See Examples 4 and 5. x = 10
 3.67: For f(x) = x2  4x, find each of the following function values. (1)
 3.3.6.68: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.68: Graph each equation. y 52 x
 3.3.8.68: Parts Lists. The function (r) 2.30 3.25(r 0.40) approximates the le...
 3.3.5.68: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.68: Graph each equation. Solve for y first, when necessary. y 23 y x 25
 3.3.7.68: Graph each inequality. See Example 5. x 1.5 0y
 3.3.4.68: Find the slope of each line. See Examples 4 and 5. y = 8
 3.68: For f(x) = x2  4x, find each of the following function values. (0)
 3.3.6.69: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.69: Graph each equation. y 3x 43y
 3.3.8.69: Postage. The step graph below shows how the cost of a first class U...
 3.3.5.69: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.69: Graph each equation. Solve for y first, when necessary. 6y 30x 12 3y
 3.3.7.69: Graph each inequality. See Example 5. x 0 y
 3.3.4.69: Find the slope of each line. See Examples 4 and 5. y  9 = 0
 3.69: For f(x) = x2  4x, find each of the following function values. (3) b
 3.3.6.70: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.70: Graph each equation. y 2x 98 y
 3.3.8.70: Sound. We cannot see sound waves, but certain scientific instrument...
 3.3.5.70: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.70: Graph each equation. Solve for y first, when necessary. 3y 9x 15y
 3.3.7.70: Graph each inequality. See Example 5. y 0
 3.3.4.70: Find the slope of each line. See Examples 4 and 5. x + 14 = 0
 3.70: For f(x) = x2  4x, find each of the following function values. a12
 3.3.6.71: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.71: Graph each equation. 7x 3y 0 4
 3.3.8.71: In the function y 5x 2 x, why do you think the value of is called t...
 3.3.5.71: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.71: Graph each equation. Solve for y first, when necessary. y 1 x36
 3.3.7.71: Graph the given inequality in part a. Then use your answer to part ...
 3.3.4.71: Find the slope of each line. See Examples 4 and 5. 3x =  12
 3.71: For g(x) = 1  6x, find each of the following function values. g(1)
 3.3.6.72: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.72: Graph each equation. 4x 5y 0y
 3.3.8.72: Explain what a politician meant when she said, The speed at which t...
 3.3.5.72: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.72: Graph each equation. Solve for y first, when necessary. y x3 y 1 x3
 3.3.7.72: Graph the given inequality in part a. Then use your answer to part ...
 3.3.4.72: Find the slope of each line. See Examples 4 and 5. 2y + 2 = 6
 3.72: For g(x) = 1  6x, find each of the following function values. g(6)
 3.3.6.73: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.73: Graph each equation. 4x 8 2y 5x
 3.3.8.73: Explain the following diagram: f(4) 11 (4, 11)
 3.3.5.73: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.73: Graph each equation. Solve for y first, when necessary. y 2x 1 y
 3.3.7.73: Graph the given inequality in part a. Then use your answer to part ...
 3.3.4.73: Determine whether the lines through each pair of points are paralle...
 3.73: For g(x) = 1  6x, find each of the following function values. g(0.5)
 3.3.6.74: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.74: Graph each equation. 5x 10 5y7
 3.3.8.74: Explain the error in the following solution. If , find 101 7x 100 7...
 3.3.5.74: Find the slope and the yintercept of the graph of each equation an...
 3.3.2.74: Graph each equation. Solve for y first, when necessary. y 3x 2y
 3.3.7.74: Graph the given inequality in part a. Then use your answer to part ...
 3.3.4.74: Determine whether the lines through each pair of points are paralle...
 3.74: For g(x) = 1  6x, find each of the following function values. ga32
 3.3.6.75: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.75: Graph each equation. 3x 150 5y x
 3.3.8.75: A student was asked to determine whether the graph on the right is ...
 3.3.5.75: For each pair of equations, determine whether their graphs are para...
 3.3.2.75: Graph each equation. Solve for y first, when necessary. 7x y 1 2x
 3.3.7.75: Deliveries. To decide the number of pallets and the number y of bar...
 3.3.4.75: Determine whether the lines through each pair of points are paralle...
 3.75: Determine whether each graph is the graph of a function. If it is n...
 3.3.6.76: Use either the slopeintercept form (from Section 3.5) or the points...
 3.3.3.76: Graph each equation. x 50 5y4
 3.3.8.76: In your own words, what is a function?
 3.3.5.76: For each pair of equations, determine whether their graphs are para...
 3.3.2.76: Graph each equation. Solve for y first, when necessary. 2x y 3y
 3.3.7.76: Zoos. To determine the allowable number of juvenile chimpanzees and...
 3.3.4.76: Determine whether the lines through each pair of points are paralle...
 3.76: Determine whether each graph is the graph of a function. If it is n...
 3.3.6.77: Anatomy. There is a linear relationship between a womans height and...
 3.3.3.77: Graph each equation. 3y 3 2
 3.3.8.77: Coffee Blends. A store sells regular coffee for $4 a pound and gour...
 3.3.5.77: For each pair of equations, determine whether their graphs are para...
 3.3.2.77: Graph each equation. Solve for y first, when necessary. 7y 2x 6y
 3.3.7.77: Dental Assistant A dentist's office schedules 1hour long appointme...
 3.3.4.77: Determine whether the lines through each pair of points are paralle...
 3.77: Complete the table of function values for f (x) 1 x y. Then graph t...
 3.3.6.78: Automation. An automated production line uses distilled water at a ...
 3.3.3.78: Graph each equation. 2x 83x
 3.3.8.78: Photographic Chemicals. A photographer wishes to mix 2 liters of a ...
 3.3.5.78: For each pair of equations, determine whether their graphs are para...
 3.3.2.78: Graph each equation. Solve for y first, when necessary. 6y 4x7
 3.3.7.78: Rolling Dice. The points on the graph represent all of the possible...
 3.3.4.78: Determine whether the lines through each pair of points are paralle...
 3.78: Aluminum Cans. The function V(r) 15.7r2 estimates the volume in cub...
 3.3.6.79: Pole Vaulting. Find the equations of the lines that describe the po...
 3.3.3.79: Chemistry. The relationship between the temperature and volume of a...
 3.3.8.79: Is the graph of y 3 x a function? Explain. yxy 3 x11112342342 2 3 4...
 3.3.5.79: For each pair of equations, determine whether their graphs are para...
 3.3.2.79: Graph each equation. Solve for y first, when necessary. y 2.5x 5 y
 3.3.7.79: Production Planning. It costs a bakery $3 to make a cake and $4 to ...
 3.3.4.79: Determine whether the lines through each pair of points are paralle...
 3.3.6.80: Freeway Design. The graph below shows the route of a proposed freew...
 3.3.3.80: Physics. The graph shows the length of a stretched spring (in inche...
 3.3.8.80: If (x) x r2 2 x, find 145 r
 3.3.5.80: For each pair of equations, determine whether their graphs are para...
 3.3.2.80: Graph each equation. Solve for y first, when necessary. y 3.5x 47
 3.3.7.80: Hiring Babysitters. Mrs. Cansino has a choice of two babysitters. S...
 3.3.4.80: Determine whether the lines through each pair of points are paralle...
 3.3.6.81: Toxic Cleanup. Three months after cleanup began at a dump site, 800...
 3.3.3.81: Bottled Water Dispenser. The graph below shows the number of gallon...
 3.3.8.81: Let (x) 2x 5 x. For what value of x is (x) 7?
 3.3.5.81: For each pair of equations, determine whether their graphs are para...
 3.3.2.81: Billiards. The path traveled by the black 8ball is described by th...
 3.3.7.81: Inventories. A clothing store advertises that it maintains an inven...
 3.3.4.81: Determine whether the lines through each pair of points are paralle...
 3.3.6.82: Depreciation. To lower its corporate income tax, accountants of a c...
 3.3.3.82: Renewable Energy. The equation p = 50s  300 estimates the power ou...
 3.3.8.82: Let and (x) x 2 and g(x) 3x. Find . (g(6))
 3.3.5.82: For each pair of equations, determine whether their graphs are para...
 3.3.2.82: PingPong. The path traveled by a PingPong ball is described by th...
 3.3.7.82: Making Sporting Goods. A sporting goods manufacturer allocates at l...
 3.3.4.82: Determine whether the lines through each pair of points are paralle...
 3.3.6.83: Trampolines. There is a linear relationship between the length of t...
 3.3.3.83: Landscaping. A developer is going to purchase trees and shrubs to l...
 3.3.5.83: For each pair of equations, determine whether their graphs are para...
 3.3.2.83: Defrosting Poultry. The number of hours needed to defrost a turkey ...
 3.3.7.83: Explain how to decide which side of the boundary line to shade when...
 3.3.4.83: Determine whether the lines through each pair of points are paralle...
 3.3.6.84: Raising a Family. In the report Expenditures on Children by Familie...
 3.3.3.84: Eggs. The number of eggs eaten by an average American in one year h...
 3.3.5.84: For each pair of equations, determine whether their graphs are para...
 3.3.2.84: Owning a Car. In 2010, the average cost (in dollars) to own and ope...
 3.3.7.84: Why is the origin usually a good test point to choose when graphing...
 3.3.4.84: Determine whether the lines through each pair of points are paralle...
 3.3.6.85: Got Milk? The scatter diagram shows the amount of milk that an aver...
 3.3.3.85: To graph 3x 2y 12, a student found the intercepts and a check point...
 3.3.5.85: For each pair of equations, determine whether their graphs are para...
 3.3.2.85: Housekeeping. The linear equation A = 0.02n + 16 estimates the amo...
 3.3.7.85: Why is (0, 0) not an acceptable choice for a test point when graphi...
 3.3.4.85: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.86: Engine Output. The horsepower produced by an automobile engine was ...
 3.3.3.86: A student graphed the linear equation y = 4, as shown above in figu...
 3.3.5.86: For each pair of equations, determine whether their graphs are para...
 3.3.2.86: Sharpening Pencils. The linear equation L 0.04t 8 n estimates the l...
 3.3.7.86: Explain the difference between the graph of the solution set of x +...
 3.3.4.86: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.87: Why is y y1 m(x x1)3 called the pointslope form of the equation of ...
 3.3.3.87: How do we find the intercepts of the graph of an equation without h...
 3.3.5.87: For each pair of equations, determine whether their graphs are para...
 3.3.2.87: NFL Tickets. The average ticket price to a National Football League...
 3.3.7.87: Solve A = P + Prt for t.
 3.3.4.87: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.88: If we know two points that a line passes through, we can write its ...
 3.3.3.88: In Section 3.2, we discussed a method to graph y = 2x  3. In Secti...
 3.3.5.88: For each pair of equations, determine whether their graphs are para...
 3.3.2.88: U.S. Automobile Accidents. The number of lives saved by seat belts ...
 3.3.7.88: What is the sum of the measures of the three angles of any triangle?
 3.3.4.88: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.89: Explain the steps involved in writing y 6 4(x 1) y in slopeintercep...
 3.3.3.89: Simplify: 3 5 53 5 5 52x
 3.3.5.89: For each pair of equations, determine whether their graphs are para...
 3.3.2.89: Raffles. A private school is going to sell raffle tickets as a fund...
 3.3.7.89: Simplify: 40a38x 14b 40a45b
 3.3.4.89: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.90: Think of the points on the graph of the horizontal line y = 4. What...
 3.3.3.90: Simplify: 41d2 32 5125 d 123
 3.3.5.90: For each pair of equations, determine whether their graphs are para...
 3.3.2.90: Endangered Species. The number n of endangered plant and animal spe...
 3.3.7.90: Evaluate: 4 + 5  (3)  13
 3.3.4.90: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.91: Frames. The length of a rectangular picture is 5 inches greater tha...
 3.3.3.91: Translate: Six less than twice x
 3.3.5.91: Production Costs. A television production company charges a basic f...
 3.3.2.91: U.S. Space Program. Since 1980, the Gallup Poll organization has su...
 3.3.7.91: Find a linear inequality that has the graph shown. yx 111123423423 ...
 3.3.4.91: Find the slope of a line perpendicular to the line passing through ...
 3.3.6.92: Speed of an Airplane. Two planes are 6,000 miles apart, and their s...
 3.3.3.92: Is 5 a solution of 2(3x + 10) = 5x + 6?
 3.3.5.92: College Fees. Each semester, students enrolling at a community coll...
 3.3.2.92: Gas Mileage. The mileage for a Honda Insight traveling between 55 m...
 3.3.7.92: Graph the inequality: 4x 3(x 2y 1) 61y 1 22 4
 3.3.4.92: Find the slope of a line perpendicular to the line passing through ...
 3.3.4.93: Pools. Find the slope of the bottom of the swimming pool as it drop...
 3.3.6.93: Find an equation of the line that passes through and is parallel to...
 3.3.3.93: Where will the line y = b intersect the line x = a?
 3.3.5.93: Chemistry. A portion of a students chemistry lab manual is shown on...
 3.3.2.93: When we say that (2, 6) y is a solution of y = x  4, what do we ...
 3.3.4.94: Drainage. Find the slope of the concrete patio slab using the 1foo...
 3.3.6.94: Find an equation of the line that passes through and is perpendicul...
 3.3.3.94: Write an equation of the line that has an xintercept of (4, 0) and...
 3.3.5.94: Rentals. Use the information in the newspaper advertisement to writ...
 3.3.2.94: What is a table of solutions?
 3.3.4.95: Grade of a Road. Refer to the illustration below. Find the slope of...
 3.3.3.95: What is the least number of intercepts a line can have? What is the...
 3.3.5.95: Employment Services. A policy statement of LIZCO, Inc., is shown be...
 3.3.2.95: What does it mean when we say that a linear equation in two variabl...
 3.3.4.96: Streets. One of the steepest streets in the United States is Eldred...
 3.3.3.96: On a rectangular coordinate system, draw a circle that has exactly ...
 3.3.5.96: Printing Presses. Every three minutes, 100 feet of paper is used of...
 3.3.2.96: A linear equation and a graph are two ways of describing a relation...
 3.3.4.97: Treadmills. Find the slope of the jogging surface of the treadmill ...
 3.3.5.97: Sewing Costs. A tailor charges a basic fee of $20 plus $5 per lette...
 3.3.2.97: From geometry, we know that two points determine a line. Why is it ...
 3.3.4.98: Architecture. Locate the coordinates of the peak of the roof if it ...
 3.3.5.98: Salad Bars. For lunch, a delicatessen offers a Salad and Soda speci...
 3.3.2.98: A student found three solutions of a linear equation in two variabl...
 3.3.4.99: Carpentry. Find the pitch of each roof. FrontSide
 3.3.5.99: iPads. When a student purchased an Apple iPad with WiFi + 3G for $...
 3.3.2.99: graph , one student made the table of solutions on the left. Anothe...
 3.3.4.100: Doll Houses. Find so that the pitch of the roof of the doll house i...
 3.3.5.100: Online Games. A new Playstation 3 costs $310.50 and membership in a...
 3.3.2.100: Both graphs below are of the same linear equation . Why do the grap...
 3.3.4.101: Irrigation. The graph on the next page shows the number of gallons ...
 3.3.5.101: Navigation. The graph below shows the recommended speed at which a ...
 3.3.2.101: Simplify: (5 4c)y
 3.3.4.102: Commercial Jets. Examine the graph and consider trips of more than ...
 3.3.5.102: Debt. The graph below estimates the amount of credit card debt per ...
 3.3.2.102: Write the set of integers.
 3.3.4.103: Milk Production. The following graph approximates the amount of mil...
 3.3.5.103: Why is y = mx + b called the slopeintercept form of the equation of...
 3.3.2.103: Find the volume, to the nearest tenth of a cubic foot, of a sphere ...
 3.3.4.104: WalMart. The graph in the next column approximates the sales reven...
 3.3.5.104: On a quiz, a student was asked to find the slope of the graph of y ...
 3.3.2.104: Solve: 2(a 3) 3(a 5) (5
 3.3.4.105: Dental Assistant In 2000, there were approximately 6,600 students e...
 3.3.5.105: Cable TV. A 186foot television cable is to be cut into four pieces...
 3.3.2.105: Graph each of the following nonlinear equations in two variables by...
 3.3.4.106: Firefighting. When flames are tilted due to effects of wind, firefi...
 3.3.5.106: Investments. Joni received $25,000 as part of a settlement in a cla...
 3.3.2.106: Graph each of the following nonlinear equations in two variables by...
 3.3.4.107: Explain why the slope of a vertical line is undefined.
 3.3.5.107: If the graph of y = mx + b passes through quadrants I, II, and IV, ...
 3.3.2.107: Graph each of the following nonlinear equations in two variables by...
 3.3.4.108: How do we distinguish between a line with positive slope and a line...
 3.3.5.108: Which of the following equations has the steeper graph, 103x 200y 4...
 3.3.2.108: Graph each of the following nonlinear equations in two variables by...
 3.3.4.109: Explain the error in the following solution: Find the slope of the ...
 3.3.4.110: Explain the difference between a rate of change that is positive an...
 3.3.4.111: Halloween Candy. A candy maker wants to make a 60pound mixture of ...
 3.3.4.112: Medications. A doctor prescribes an ointment that is 2% hydrocortis...
 3.3.4.113: Use the concept of slope to determine whether A(50, 10), B(20, 0)...
 3.3.4.114: A line having slope 23 passes through the point (10, 12). What is t...
 3.3.4.115: Subscripts are used in other disciplines besides mathematics. In wh...
 3.3.4.116: Evaluate for , 2a a2 2, a3 3 and . a4
Solutions for Chapter 3: Graphing Linear Equations and Inequalities in Two Variables; Functions
Full solutions for Elementary and Intermediate Algebra  5th Edition
ISBN: 9781111567682
Solutions for Chapter 3: Graphing Linear Equations and Inequalities in Two Variables; Functions
Get Full SolutionsSince 826 problems in chapter 3: Graphing Linear Equations and Inequalities in Two Variables; Functions have been answered, more than 36160 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Elementary and Intermediate Algebra, edition: 5. Elementary and Intermediate Algebra was written by and is associated to the ISBN: 9781111567682. Chapter 3: Graphing Linear Equations and Inequalities in Two Variables; Functions includes 826 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Characteristic equation det(A  AI) = O.
The n roots are the eigenvalues of A.

Column space C (A) =
space of all combinations of the columns of A.

Determinant IAI = det(A).
Defined by det I = 1, sign reversal for row exchange, and linearity in each row. Then IAI = 0 when A is singular. Also IABI = IAIIBI and

Eigenvalue A and eigenvector x.
Ax = AX with x#O so det(A  AI) = o.

Ellipse (or ellipsoid) x T Ax = 1.
A must be positive definite; the axes of the ellipse are eigenvectors of A, with lengths 1/.JI. (For IIx II = 1 the vectors y = Ax lie on the ellipse IIA1 yll2 = Y T(AAT)1 Y = 1 displayed by eigshow; axis lengths ad

Factorization
A = L U. If elimination takes A to U without row exchanges, then the lower triangular L with multipliers eij (and eii = 1) brings U back to A.

GramSchmidt orthogonalization A = QR.
Independent columns in A, orthonormal columns in Q. Each column q j of Q is a combination of the first j columns of A (and conversely, so R is upper triangular). Convention: diag(R) > o.

Incidence matrix of a directed graph.
The m by n edgenode incidence matrix has a row for each edge (node i to node j), with entries 1 and 1 in columns i and j .

Iterative method.
A sequence of steps intended to approach the desired solution.

Kirchhoff's Laws.
Current Law: net current (in minus out) is zero at each node. Voltage Law: Potential differences (voltage drops) add to zero around any closed loop.

Kronecker product (tensor product) A ® B.
Blocks aij B, eigenvalues Ap(A)Aq(B).

Least squares solution X.
The vector x that minimizes the error lie 112 solves AT Ax = ATb. Then e = b  Ax is orthogonal to all columns of A.

Markov matrix M.
All mij > 0 and each column sum is 1. Largest eigenvalue A = 1. If mij > 0, the columns of Mk approach the steady state eigenvector M s = s > O.

Multiplication Ax
= Xl (column 1) + ... + xn(column n) = combination of columns.

Reduced row echelon form R = rref(A).
Pivots = 1; zeros above and below pivots; the r nonzero rows of R give a basis for the row space of A.

Reflection matrix (Householder) Q = I 2uuT.
Unit vector u is reflected to Qu = u. All x intheplanemirroruTx = o have Qx = x. Notice QT = Q1 = Q.

Semidefinite matrix A.
(Positive) semidefinite: all x T Ax > 0, all A > 0; A = any RT R.

Transpose matrix AT.
Entries AL = Ajj. AT is n by In, AT A is square, symmetric, positive semidefinite. The transposes of AB and AI are BT AT and (AT)I.

Vandermonde matrix V.
V c = b gives coefficients of p(x) = Co + ... + Cn_IXn 1 with P(Xi) = bi. Vij = (Xi)jI and det V = product of (Xk  Xi) for k > i.

Vector v in Rn.
Sequence of n real numbers v = (VI, ... , Vn) = point in Rn.