Question

Graph the linear inequality:

$y>\frac{2}{3}x-1$

Short answer

The graph is -

Step-by-step solution

Step 1. Given information 

Linear inequality:$y>\frac{2}{3}x-1$

Step 2. Graph 

We have,

$y>\frac{2}{3}x-1$

$y=\frac{2}{3}x-1$ boundary line

Now, at $\left(0,0\right)$-

$0>\frac{2}{3}\left(0\right)-1$

$0>-1$

So, $\left(0,0\right)$is a solution.

The graph of the linear inequality -

All points in the shaded region, but not on the boundary line, represent the solutions to$y>\frac{2}{3}x-1$.