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# Math 1101 unit 1.2 notes MATH 1101

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This 3 page Class Notes was uploaded by Rukeem Collins on Sunday January 31, 2016. The Class Notes belongs to MATH 1101 at Georgia State University taught by Changyong Zhong in Winter 2016. Since its upload, it has received 19 views. For similar materials see INTRO TO MATHEMATICAL MODELING in Geography at Georgia State University.

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Date Created: 01/31/16

1.2 .Linear functions are functions that can be written in the form Y=mx+b. it increases at a steady rate. In 3x+ 5 M=3 B=5 The domain is all real numbers The range is all real numbers Y intercept is Mx0+B X intercept is 0=MX+b Linear functions always have straight lines. If a line on a graph slopes up, m is positive, if it slopes down, it is negative, and it is straight, M is 0. If the line is vertical, it is not a function. ????2−????1 .slope: slope is the vertical change over the horizontal change. M = ????2−????1 Given two different points x1, y1, and x2, y2, on a non- vertical line L the slope is the second set of coordinates, minus the first. . The relationship between the line and the slope The slope is positive if the line increased to the right The slope is negative if the slope decreases to the right. The slope is zero if the line is horizontal. If the line is vertical the slope is undefined. Slope only applies to linear functions. Y=mx+b is called slope intercept form because M is the slope, and B is the y intercept. Slope is also called the rate of change .Point slope form: the equation a line with slope that passes through a main point. Y-y1= m(x-x1) General form AX+BX=C . If the slope of a line is 0, y is the y coordinate of the ordered pair, and it doesn’t change. Y= b If the slope is undefined, x is the x coordinate of the ordered pair, and it doesn’t change. . Parallel and Perpendicular lines Parallel lines are lines are two line that run directly across from each other, and they have the same slope Chart Title 7 6 5 4 3 2 1 0 Category 1 Category 2 Category 3 Category 4 Series 1 Series 2 Column1 For perpendicular lines m1xm2=-1. That means that one slope is the reciprocal of the other one. Chart Title 7 6 5 4 3 2 1 0 Category 1 Category 2 Category 3 Category 4 Different types of equations Conditional equations are equations that are only true with certain values Identity equations are equations that are true for all values of the variable Contradictory functions are functions that aren’t true for any values. Linear equations are equations that contains more than one variable that stands for either a constant or a variable. Section 2.1 systems of linear equations A system of linear equation that is stated with two variables. Y=2x-3 both Ys will be the same Y=1/2-2 A system of equations are consistent if it has a solution. If it doesn’t, it is inconsistent. If they have one solution they are independent, if they have more than one solution, they are independent.

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