Answer
$y=-2x-2$
Work Step by Step
Step 1. Knowing the two points on the line, we can find the slope as
$m=\frac{8-(-4)}{-5-1}=-2$
Step 2. We can write the point-slope form as
$y+4=-2(x-1)$ or $y=-2x+2-4=-2x-2$
Step 3. Thus, the slope-intercept form is
$y=-2x-2$
