[tex]\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -2}}\quad ,&{{ 5}})\quad
% (c,d)
&({{ 5}}\quad ,&{{ 6}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{6-5}{5-(-2)}\implies \cfrac{6-5}{5+2}\implies \cfrac{1}{7}[/tex]