Answer
The slope is $m=\frac{2}{3}$.
The $y$-intercept is $-2$.
The graph is attached below.
Work Step by Step
Isolate $y$ to obtain:
$2x-3y=6$
$-3y=-2x+6$
$y=\frac{2}{3}x-2$
In a line's equation in slope-intercept form, which is $y=mx+b$, the constant $b$ is the $y$-intercept while the coefficient of $x$, which is $m$, is the slope.
Thus, in $y=\frac{2}{3}x-2$ we have:
$y$-intercept is $-2$
slope=$m=\frac{2}{3}$.
Plot the point $(0, -2)$.
The slope is $\frac{2}{3}$ so from $(0, 2)$, move $3$ units to the right and $2$ units upward to have $(3, 0)$.
Connect the points using a straight line.
