Question

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

for < or >= for 2.
(-2, 2)
(0, -2)

Answer 1

y ≤ -2x - 2

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' =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

=
`(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