Answer
The slope is $m=-\frac{3}{2}$.
The $y$-intercept is $3$.
The graph is attached below.
Work Step by Step
Isolate $y$ to obtain:
$3x+2y=6$
$2y=-3x+6$
$y=-\frac{3}{2}x+3$
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 $y=-\frac{3}{2}x+3$ we have:
$y$-intercept is $3$
slope=$m=-\frac{3}{2}$.
Plot the point $(0, 3)$.
The slope is $-\frac{3}{2}$ so from $(0, 3)$, move $2$ units to the right and $3$ units downward to have $(2, 0)$.
Connect the points using a straight line.
