Answer
$y=\frac{2}{3}x+2$
Work Step by Step
The line passes through $(0,2)$, so that is the $y$-intercept. Since the slope is the rise over the run, we can note that for every $2$ unit rise, the line runs $3$ units. Therefore, our slope is $\frac{2}{3}$, and we can now write our equation in slope-intercept form.
$y=\frac{2}{3}x+2$