# How do you graph the linear inequality y>=-x-3?

Sep 23, 2017

Refer to the explanation.

#### Explanation:

Graph:

$y \ge - x - 3$

Determine a few points on the line. (Only two are necessary.)

$x = - 2 ,$$y = - 1$$\textcolor{w h i t e}{. .}$$\text{Point:}$$\left(- 2 , - 1\right)$

$x = 0 ,$$y = - 3$$\textcolor{w h i t e}{. .}$$\text{Point:}$$\left(0 , - 3\right)$

$x = 2 ,$$y = - 5$$\textcolor{w h i t e}{. .}$$\text{Point:}$$\left(2 , - 5\right)$

Plot the points and draw a solid, straight line through them to represent the equality. Then shade in the area above the line to represent the inequality.

graph{y>=-x-3 [-15.22, 16.81, -10.12, 5.9]}