[tex]\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 3}}\quad ,&{{ -10}})\quad
% (c,d)
&({{-5}}\quad ,&{{ -2}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-2-(-10)}{-5-3}\implies \cfrac{-2+10}{-5-3}
\\\\\\
\cfrac{8}{-8}\implies -1
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-10)=-1(x-3)\\\\\\ y+10=-(x-3)[/tex]
