[tex]\bf \begin{array}{lllll}
&x_1&y_1\\
&({{ 3}}\quad ,&{{ -2}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=4(x-3)\implies y+2=4(x-3)[/tex]