Answer
As given below
Work Step by Step
We are given: $3y+6=-2x$
Subtract 6 from each side: $3y=-2x-6$
Then divide each side by 3: $y=-\frac{2}{3}x-2$
The y-intercept is $-2$, so plot a point at $(0,-2)$.
The slope is $\frac{-2}{3}$.
Some values of x and y
$x=1: y=\frac{-8}{3} \rightarrow (1,\frac{-8}{3})$
$x=2: y=\frac{-10}{3} \rightarrow (2,\frac{-10}{3})$
$x=3: y=-4\rightarrow (3,-4)$