Answer:
[tex]y\leq -x-5[/tex]
Step-by-step 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).
[tex]\frac{0--5}{-5-0} = \frac{5}{-5} = -1[/tex]
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.
