We can find the slope using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Let:
[tex]\begin{gathered} (x1,y1)=(-6,13) \\ (x2,y2)=(1,11) \\ \end{gathered}[/tex]Therefore:
[tex]m=\frac{11-13}{1-(-6)}=\frac{-2}{7}=-\frac{2}{7}[/tex]Answer:
[tex]-\frac{2}{7}[/tex]