Question

How do I even do this?

Answer 1

`y\leq -x-5`

Explanation:

First you find the equation of the line. Start by finding the slope of the line, using the two points given: (-5,0), (0,-5).

`(0--5)/(-5-0) = (5)/(-5) = -1`

The y intercept is -5.

Your equation is then y = -1x-5.

To find which inequality to use, plug in a point within your region and see if the statement is true. I would choose (-3,-3)

-3 __ -1(-3)-5

-3 __ -2 you would fill this in with a <, so that is what goes in your equation. since the line is solid and not dotted, you include the underline in the sign.