the formula for slope is
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
in this case, your
[tex]x1 = - 5[/tex]
[tex]x2 = - 3[/tex]
[tex]y1 = - 11[/tex]
[tex]y 2= - 4[/tex]
just pluck in
[tex]m = \frac{ - 4 - ( - 11)}{( - 3) - ( - 5)} [/tex]
[tex]m = \frac{7}{2} [/tex]