Question

Which inequality is shown in this graph? Pls help

Answer 1

D

Explanation:

the solutions to the inequality lie in the blue region of the graph

first we require to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m =
`(-2-2)/(0-(-2))` =
`(-4)/(0+2)` =
`(-4)/(2)` = - 2

the line crosses the y- axis at - 2, then y- intercept c = - 2

y = - 2x - 2 ← equation of line

Since the line is solid then the values on it are =

the blue region is below the line , then

y ≤ - 2x - 2