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