Answer
See the graph
Work Step by Step
We are given $y \gt -3x$
Graph the boundary line $y=-3x$. Since the inequality symbol is $\gt$, the points on the boundary line are not solutions. Use a dashed line to indicate that the points are not included in the solution.
To determine which side of the boundary line to shade, test a point that is not on the line. For example, test the point $(0, 0)$.
$0 \gt -3(0)$
$0\gt 0 $
Because the point $(0, 0)$ is a solution of the inequality, all the points on the same side of the boundary line as $(0, 0)$ are solutions. Shade the area above the boundary line.
