Answer
See the graph
Work Step by Step
We are given $y \leq -2x + 3$
Graph the boundary line $y = -2x + 3$. Since the inequality symbol is $\leq$, the points on the boundary line are solutions. Use a dashed line to indicate that the points are 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 $(0, 0)$.
$0 \leq -2(0)+3$
$0 \leq 3$
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 below the boundary line.
