Answer
The graph is shown below.
Work Step by Step
The given inequality is
$y\gt -7$
Graph $y=-7$. Use a dashed line because the inequality symbol is $ \gt$.
Test $(0,0)$.
$\Rightarrow y\gt -7$
$\Rightarrow 0\gt -7$
True.
Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.
