What is an equation of the line that passes through the points (-4, 8) and
(2, -1)?

Kayla,  learn this,  :D  more math is based on it.  Just learn it, just memorize the following

Step-by-step explanation:

m = slope

m = rise / run

m = y2 - y1   /  x2 - x1       ( this is still rise over run but in point form )

they give us two points to plug into the above formula

P1 = (-4, 8 )  in the form of ( x1, y 1 )

P2 = (2, -1)  in the form of (x2, y2 )

now plug those into the above formula

m = ( -1 - 8 ) / ( 2-(-4) )

m = -9  /  ( 2 + 4 )

m = -9 / 6

m = - 3/2

since we know the slope now  , we can use the point slope equation of

y - y1 = m ( x - x1)

use the m we found and either point  , P1 or P2

y - 8 = -3/2(x -(-4) )

y-8 = -3/2(x + 4)

y-8 = -3/2x - 6

y = -3/2x -6 + 8

y = -3/2x + 2

there you go  :)

answer: the answer is e

step-by-step explanation: