Question

Write the slope-intercept inequality for the graph below. If necessary, use <=

Answer 1

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' = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

                                 = $\frac{2+2}{-2-0}$

                                 = -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