# How do you graph #y+5 \le -4x+10#?

##### 1 Answer

Mar 22, 2018

See below.

#### Explanation:

Subtract 5 from both sides.

Now, consider the limiting case where

This is the straight line with graph below.

graph{-4x+5 [-16.02, 16.02, -8.01, 8.01]}

It should now be clear that our inequality may be represented by all points where

This is the area to the left of the line and the line itself. Shown below.

graph{y<=-4x+5 [-16.02, 16.02, -8.01, 8.01]}