Answer
$y=\frac{2}{3}x+\frac{7}{3}$
Work Step by Step
The slope is $\frac{2}{3}$, as the graph moves up two units as it moves right three units.
One ordered pair of the graph is (-2,1). We can plug this into slope-intercept form to find the y-intercept.
$y=mx+b$
$1=\frac{2}{3}(-2)+b$
$\frac{7}{3}=b$
$y=\frac{2}{3}x+\frac{7}{3}$