Answer
The graph is shown below.
Work Step by Step
The given inequality is
$y\gt 6$
Graph $y=6$. Use a dashed line because the inequality symbol is $ \gt$.
Test $(0,0)$.
$\Rightarrow y\gt6$
$\Rightarrow 0\gt6$
false.
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.