Question

Graph the inequality in a coordinate plane.

$y>3x-5$

Short answer

The graph is shown below.

Step-by-step solution

Step 1. Given Information.

The inequality is$y>3x-5$.

Step 2. Explanation.

Draw the boundary line$y>3x-5$. The inequality symbol is >, so use a dotted line.

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

$\begin{array}{c}y>3x-5\\ \left(0\right)>3\left(0\right)-5\\ 0>-5\end{array}$

Because$\left(0,0\right)$ is a solution, shade the half plane that contains$\left(0,0\right)$.