Answer
$y=2x-3$
Work Step by Step
Use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ and the point-slope form $y−y_1=m(x−x_1)$ to solve this problem.
Passing through $(-1,-5)$ and $(2,1)$
$\frac{1+5}{2+1}=2$
$y+5=2(x+1)$
$y+5=2x+2$
$y=2x-3$