Answer
$y=\frac{4}{3}x+2$
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 $(-3,-2)$ and $(3,6)$
$\frac{6+2}{3+3}=\frac{4}{3}$
$y+2=\frac{4}{3}(x+3)$
$y+2=\frac{4}{3}x+4$
$y=\frac{4}{3}x+2$
