# How do you graph y \le 4x+3?

##### 1 Answer
Oct 29, 2014

First, sketch the line $y = 4 x + 3$ (in a solid line since it is not a strict inequality), which looks like:

Choose any sample point that is NOT on the line. I use $\left(0 , 0\right)$ to see if it satisfies the inequality:

$0 \le 4 \left(0\right) + 3$.

Since $\left(0 , 0\right)$ satisfies the inequality, we shade the side containing $\left(0 , 0\right)$, which looks like:

That is how you graph $y \le 4 x + 3$.

I hope that this was helpful.