# Gradient_straight_line(1&2) - , choose any two points...

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Gradient of a straight line x y - 8 - 6 - 4 - 2 0 2 4 6 8 - 4 4 For the graph of y = 2 x - 4 rise run  = 8 4 = 2 8 rise = 8 4 run = 4 Gradient = y = 2 x - 4

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Gradient of a straight line x y 0 For the graph of y = mx + c rise run  = y 2 - y 1  x 2 - x 1 y 2 - y 1 rise = y 2 - y 1 x 2 - x 1 run = x 2 - x 1 Gradient = ( x 1 , y 1 ) ( x 2 , y 2 ) y = mx + c
Gradient of a straight line x y - 8 - 6 - 4 - 2 0 2 4 6 8 4 To calculate the gradient of the line y = 2 x - 4 , choose any two points on the line. 4 - ( - 4) 4 - 0  = 8 4 = 2 Gradient = y = 2 x - 4 e.g. ( x 1 , y 1 ) = (0, - 4)  x 2 - x 1 y 2 - y 1 = 4 - ( - 4) 4 - 0 and ( x 2 , y 2 ) = (4, 4) (4, 4) (0, - 4)

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Gradient of a straight line x y - 8 - 6 - 4 - 2 0 2 4 6 8 - 4 4 To calculate the gradient of the line y = - 2 x + 4
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Unformatted text preview: , choose any two points on the line. -4 -4 4 - = 8 4 =-2 Gradient = y = -2 x + 4 e.g. ( x 1 , y 1 ) = (0, 4) x 2-x 1 y 2-y 1 = 4 and ( x 2 , y 2 ) = (4, -4) • (4, -4) • (0, 4) 8-Gradient of a straight line x y ( x 2 , y 2 ) ( x 1 , y 1 ) y values increase x y ( x 2 , y 2 ) ( x 1 , y 1 ) Positive gradient: as x values increase. y values decrease Negative gradient: as x values increase....
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## This note was uploaded on 04/12/2011 for the course MATH 2180 taught by Professor Staff during the Spring '11 term at North Texas.

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Gradient_straight_line(1&2) - , choose any two points...

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