Answer
Slope: $m=\frac{2}{3}$
y-intercept: $(0,-2)$
Work Step by Step
The slope-intercept form of a linear equation:
$y=mx+b$, where $m$ is the slope and $(0,b)$ is the y-intercept.
$2x-3y=6$
$-3y=6-2x$
$y=\frac{6}{-3}-\frac{2}{-3}x$
$y=\frac{2}{3}x-2$
$m=\frac{2}{3}$ and $b=-2$