Answer:
[tex]\bold{m=-\dfrac92=-4.5}[/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]
(2, -9) ⇒ x₁ = 2, y₁ = -9
(-2, 9) ⇒ x₂ = -2, y₂ = 9
So the slope:
[tex]\bold{m=\dfrac{9-(-9)}{-2-2}=\dfrac{18}{-4}=-\dfrac92}[/tex]