Answer
Please see the graph, made using graphing software.
Work Step by Step
$y \geq-7$
To find the boundary line, we replace the $\geq$ sign with the $=$ sign.
$y=-7$
Thus, we have a horizontal line at $y=-7$. Three points on the line are $(0,-7)$, $(-4,-7)$, and $(7,-7)$.
Use $(0,0)$ as a test point to determine what side to shade.
$y \geq -7$
$0 \geq -7$ is a true statement, so we shade the side of the line with $(0,0)$.
