Answer
$y=-3x-2$
Work Step by Step
The required linear equation in slope-intercept form goes through these two points $(-2,4)$ and $(1,-5)$.
Find the slope:
$$m=\frac{-5-4}{1-(-2)}=\frac{-9}{3}=-3$$
Use the slope and one of the points into point-slope form:
$$y-(-5)=-3(x-1)$$ $$y+5=-3x+3$$ $$y=-3x-2$$
