The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have points:
[tex](-2,\ 4)\to x_1=-2;\ y_1=4\\(3;\ -6)\to x_2=3;\ y_2=-6[/tex]
substitute:
[tex]m=\dfrac{-6-4}{3-(-2)}=\dfrac{-10}{3+2}=\dfrac{-10}{5}=-2[/tex]
Shaded left from the line therefore the inequality sign is ≤.
Your answer: C. y ≤ -2x
