The given points are (-2,-5) and (0,13).
We use the slope formula and the points.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]\begin{gathered} x_1=-2 \\ x_2=0 \\ y_1=-5 \\ y_2=13 \end{gathered}[/tex]Replacing these values, we have
[tex]m=\frac{13-(-5)}{0-(-2)}=\frac{13+5}{2}=\frac{18}{2}=9[/tex]