Answer:
[tex]\bold{m=-\dfrac25}[/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]
(-5, 7) ⇒ x₁ = -5, y₁ = 7
(10, 1) ⇒ x₂ = 10, y₂ = 1
So the slope:
[tex]\bold{m=\dfrac{1-7}{10+5}=\dfrac{-6}{15}=-\dfrac25}[/tex]