Answer:
[tex]y \leq -2x-2[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line
The solid line pass through the points (-2,2) and (0,-2)
Find the slope of the solid line
[tex]m=(-2-2)/(0+2)=-2[/tex]
The equation of the solid line in slope intercept form is
[tex]y=mx+b[/tex]
where
[tex]m=-2[/tex]
[tex]b=-2[/tex] ---> y-intercept
substitute
[tex]y=-2x-2[/tex]
therefore
The equation of the inequality is
[tex]y \leq -2x-2[/tex]
