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In Mathematics / Middle School | 2014-11-14

Write an equation in slope-intercept form for the line through the two points (-2, 2) and (2, -2).

How do you find the y-intercept after finding the slope? Please explain!

Asked by Porshia

Answer (2)

m = x 2 − x 1 y 2 − y 1 ​ m = 2 − ( − 2 ) − 2 − 2 ​ m = 4 − 4 ​ m = − 1
y = m x + b y = − 1 x + b
( 2 ) = ( − 1 ) ( − 2 ) + b 2 = 2 + b 0 = b
y = − 1 x + 0 y = − x

Answered by iloveonedirection | 2024-06-10

To write the equation of the line through the points (-2, 2) and (2, -2), first calculate the slope as m = -1. Then use the slope-intercept form y = mx + b, substituting one point to find the y-intercept b, which is 0. The final equation is y = -x.
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Answered by iloveonedirection | 2024-12-26