2.4_bzca5e - Section 2.4 More on Slope Parallel and...

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Section 2.4 More on Slope
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Parallel and Perpendicular Lines
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y=2x+7
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Find a line parallel to -x+6y=8 and passing through (-2,3). -x+6y=8 Solve for y 6y=x+8 1 4 1 y= Use the slope 6 3 6 1 y-3= ( 2) Substitute into the Point-Slope form 6 y x x + - - 1 1 -3= 6 3 1 1 y= 3 6 3 1 10 y= 6 3 x x x + + + + Parallel Lines
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Example Write the equation in slope intercept form for a line that is parallel to 3x-4y=12 and passing through (5,2).
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Find a line perpendicular to -x+6y=8 and passing through (-2,3). -x+6y=8 Solve for y 6y=x+8 1 4 1 y= Use the negative reciprocal slope of 6 3 6 y-3= - 6( 2) S x x + - - ubstitute into the Point-slope form y-3= 6 12 y= - 6 12 3 y=-6 9 x x x - - - + - Perpendicular Lines
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Example Write the equation in slope intercept form for a line perpendicular to 3x-4y=12 and passing through (5,2).
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Slope as Rate of Change
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Definition- Slope is defined as the ratio of a change in y to a corresponding change in x. change in y or change in x y m x = or 2 1 2 1 y y x x - -
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Interpreting a real life situation The line graphs the percent of US adults who smoke cigarettes x years after 1997. a. Find the slope of the line segment from 1997 to 2007 Percent Adults X years after 1997 1 2 3 4 5 6 7 8 9 10 1 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 x y ( 0,24.7 ) ( 10,19.5 ) change in y change in x m = = -5.2 = 10 change in y change in 24.7 19.5 10 0 x m - = = -
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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2.4_bzca5e - Section 2.4 More on Slope Parallel and...

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