Answer:
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]
(5, -10) ⇒ x₁ = 5, y₁ = -10
(12, -17) ⇒ x₂ = 12, y₂ = -17
So the slope:
[tex]\bold{m=\dfrac{-17-(-10)}{12-5}=\dfrac{-7}7=-1}[/tex]