Rectangle abcd is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image a'b'c'd'. if the slope of ab is -2, what is the slope of a b'? а. -4 в. -1 c. 2 d. 0

it is probably the graph on the bottom right.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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step-by-step explanation: