Answer
Please see the graph, made using graphing software.
Work Step by Step
$y \leq -4$
To find the boundary line, we replace the $ \leq$ sign with the $=$ sign.
$y=-4$
Three points on this line are $(0,-4), (-4,-4)$, and $(7,4)$.
Use $(0,0)$ to determine what side of the line to shade.
$y \leq -4$
$0 \leq -4$ is a false statement, so we shade the side of the line without $(0,0)$.
