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# Review Sheet for MATH 1310 at UH

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This 14 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 17 views.

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Date Created: 02/06/15

1310 7 Chapter l 11 Distance and Midpoint Distance Formula 7 know by heart forAX1ylandBX2y2 dAB VX2 X12 Y2 12 Midpoint formula for a segment with endpoints A and B 7 know by heart forAX1y1andBX2y2 mm 2 2 additional practice simplify l2 I625 simplify 2 Examples Given the following points nd the distance between them and the midpoint of the segment joining them Sketch a little graph of the segment being sure to use appropriate scaling A 1 2 and5 3 Distance Midpoint B 0 and 0 big hint 916 144 Midpoint C 1 and Lg big hint 916 25 169 Distance Midpoint Additional Note There s a primer on fractions on my website wwwmathuhedudog 12 Lines Review Parts of a line Example A Ax By C 0 is the General Equation of a Line x intercept 7 where the line hits the x axis y 0 y intercept 7 where the line hits the y axis x 0 slope 7 a number that measures incline 8x 2y 100 The rst row shows the coordinates of the y intercept The second row shows the coordinates of the x intercept From this we can calculate the slope 372 371 X X m 2 1 Example B 6X 3y 18 0 The rst row shows the coordinates of the y intercept The second row shows the coordinates of the X intercept From this we can calculate the slope m yz yl X2X1 IfX 5 what is y Ify 23 what is X Let s calculate some slopes Given the following points nd The slope of the line joining them The distance between them The midpoint of the segment joining them 2 5 and 3 10 Example C 4X 8y 16 0 The rst row shows the coordinates of the y intercept The second row shows the coordinates of the X intercept From this we can calculate the slope m yz yl X2X1 IfX whatisy Ify whatis X Now for a bit of review Given the line 9X 3y 18 0 Find the following The slope of the line The coordinates of the intercepts The distance between the intercepts The midpoint of the segment joining the intercepts IfX 1 what is y Ify 23 what is X Remind me to sketch a graph of this as we go The Slope Intercept form for a line y mX b The slope shows explicitly m The y intercept is 0 b What is the X intercept Example y 3 X The slope is The y intercept in coordinate form is The X intercept in coordinate form is If X whatis y Ify 1 what is X Point slope equation of a line is Using the point slope equation nd an equation of the line through 1 5 and 2 6 What are the intercepts the slope the slopes of all lines perpendicular to this line What is the y coordinate of the point on the line that has X coordinate 3 What is the X coordinate of the point on the line that has y coordinate 2 10 Parallel lines have the same slope and different y intercepts Perpendicular lines have slopes that multiply to 1 What are the slopes of all lines parallel to the line with y intercept 3 that passes through 2 5 What about all perpendicular lines Let s talk about the points 1 and 2 E Distance Midpoint Equation of line containing them Slope of all lines parallel Slope of all lines perpendicular ll 13 Graphing Equations The X intercept is to solve for the X intercepts 0 fX The y intercept is to solve for the y intercepts f0 evaluation X1 fX 2 X explore X0 X 101 1 solve for the X intercepts 12 The domain is The range is Be sure to review evaluation fXX2 X 1 f 1 13 Sample attendance popper questions are on my website 14

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