Answer:
[tex]\large\boxed{slope=\dfrac{1}{4}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-6, 3) and (2, 5).
Substitute:
[tex]m=\dfrac{5-3}{2-(-6)}=\dfrac{2}{2+6}=\dfrac{2}{8}=\dfrac{2:2}{8:2}=\dfrac{1}{4}[/tex]