Question

The picture below shows the graph of which inequality

Answer 1

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have points:

`(-2,\ 4)\to x_1=-2;\ y_1=4\\(3;\ -6)\to x_2=3;\ y_2=-6`

substitute:

`m=(-6-4)/(3-(-2))=(-10)/(3+2)=(-10)/(5)=-2`

Shaded left from the line therefore the inequality sign is ≤.

Your answer: C. y ≤ -2x