To find the rate of change between the given points, we use the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's replace the points, where
[tex]\begin{gathered} x_1=-3 \\ x_2=7 \\ y_1=4 \\ y_2=8 \end{gathered}[/tex][tex]m=\frac{8-4}{7-(-3)}=\frac{4}{7+3}=\frac{4}{10}=\frac{2}{5}[/tex]