Question

The picture below shows the graph of which inequality

Answer 1

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have points:

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

substitute:

$m=\dfrac{-6-4}{3-(-2)}=\dfrac{-10}{3+2}=\dfrac{-10}{5}=-2$

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

Your answer: C. y ≤ -2x