Answer
The graph is shown below.
Work Step by Step
The given inequality is
$y\gt-2x-4$
Graph $y=-2x-4$. Use a dashed line because the inequality symbol is $ \gt$.
Test $(0,0)$.
$\Rightarrow y\gt-2x-4$
$\Rightarrow 0\gt-2(0)-4$
$\Rightarrow 0\gt0-4$
$\Rightarrow 0\gt-4$
Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.
