Answer
$$ y=-\frac{4}{3}x-\frac{8}{3}$$
Work Step by Step
We first find the slope:
$$m=\frac{-8-0}{4-\left(-2\right)} \\ m=-\frac{4}{3}$$
We know that $y=mx+b$, where m is the slope and b is the y-intercept. We write the equation in point-slope form first and simplify until it is in slope intercept form. Using this, we find that the equation in slope intercept form is:
$$ y-0=-\frac{4}{3}(x+2) \\ y=-\frac{4}{3}x-\frac{8}{3}$$
