Answer
Slope-intercept form:
$y=\frac{2}{3}x-5$
Slope:
$\frac{2}{3}$
y-intercept:
$-5$ or $(0,-5)$
Work Step by Step
$2x-3y=15$
$-3y=-2x+15$
$y=\frac{2}{3}x-5$
Slope is your coefficient of $x$, therefore $\frac{2}{3}$.
Your y-intercept is the $b$ in your equation, therefore $-5$.