Question

HELPPP PLEASE!!
Which inequality does this graph show?

Answer 1

A)

Explanation:

First find the equation of the line.

Take 2 points on the line (-3, 0) and (0, -3)

`\mathsf{slope=(change\ in\ y)/(change \ in \ x)=(-3-0)/(0--3)=-1}`

y-intercept is -3

Slope-intercept form of linear equation: y = mx + b
(where m is the slope and b is the y-intercept)

Therefore, equation of line is: y = -x -3

The solid line means ≤ or ≥ (whereas a dashed line means < or >)

The shaded area is under the line, therefore y ≤ -x -3