Answer:
[tex]\bold{m=\dfrac12}[/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, 1) ⇒ x₁ = -2, y₁ = 1
(6, 5) ⇒ x₂ = 6, y₂ = 5
So the slope:
[tex]\bold{m=\dfrac{5-1}{6-(-2)}=\dfrac{4}8=\dfrac12}[/tex]