Answer
$$ y=\frac{5}{3}x-5$$
Work Step by Step
We first find the slope:
$$m=\frac{0-\left(-5\right)}{3-0}=\frac{5}{3}$$
We know that $y=mx+b$, where m is the slope and b is the y-intercept. Using this, we find that the equation in slope intercept form is:
$$ y=\frac{5}{3}x-5$$