[tex]\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 3}} &,&{{ 6}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies \cfrac{2}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-6=\cfrac{2}{3}(x-3)\implies y-6=\cfrac{2}{3}x-2
\\\\\\
y=\cfrac{2}{3}x+4[/tex]
