Given two points on a line, we can find the slope of the line using the following equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
then, in this case, we have the following:
[tex]\begin{gathered} (x_1,y_1)=(-8,0) \\ (x_2,y_2)=(7,3) \\ \Rightarrow m=\frac{3-0}{7-(-8)}=\frac{3}{7+8}=\frac{3}{15}=\frac{1}{5} \\ m=\frac{1}{5} \end{gathered}[/tex]
therefore, the slope of the line is m = 1/5
