Answer:
y ≤ -2x - 2
Step-by-step explanation:
Given question is incomplete: Find the complete question in the attachment.
Since the graphed line is a solid line and passes through two points (-2, 2) and (0, -2).
Equation of the line will be,
y = mx + b
Where m = slope of the line
b = y-intercept
Slope of the line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{2+2}{-2-0}[/tex]
= -2
Y-intercept 'b' = -2
Therefore equation of the line will be,
y = -2x - 2
Since the shaded region is on the left side of the solid line,
Equation of the inequality will be y ≤ -2x - 2
