We are asked to determine the slope between two points. To do that we will use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the following points:
[tex]\begin{gathered} (x_1,y_1)=(-7,2) \\ (x_2,y_2)=(9,6) \end{gathered}[/tex]
Replacing the points we get:
[tex]m=\frac{6-2}{9-(-7)}[/tex]
Solving the operations:
[tex]m=\frac{4}{16}=\frac{1}{4}[/tex]
Therefore, the slope is 1/4
