Question

Graph the inequality in a coordinate plane.

$y>0.5x+1.5$

Short answer

The graph is shown below.

Step-by-step solution

Step 1. Given Information.

The inequality is$y>0.5x+1.5$

Step 2. Explanation.

Draw the boundary line$y>0.5x+1.5$. The inequality symbol is >, so use a dotted line.

Test the point$\left(0,0\right)$in the inequality.

$\begin{array}{c}y>0.5x+1.5\\ \left(0\right)>0.5\left(0\right)+1.5\\ 0>1.5\end{array}$

Because$\left(0,0\right)$ is not a solution, shade the half plane that does not contain$\left(0,0\right)$.