Answer:
[tex]\bold{m=\dfrac53}[/tex]
Step-by-step explanation:
[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
E(5, 2) ⇒ x₁ = 5, y₁ = 2
F(2, -3) ⇒ x₂ = 2, y₂ = -3
So the slope:
[tex]\bold{m=\dfrac{-3-2}{2-5}=\dfrac{-5}{-3}=\dfrac53}[/tex]