[tex]\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 220 &,& 500~)
% (c,d)
&&(~ 140 &,& 350~)
\end{array}
\\\\\\
% slope = m
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{350-500}{140-220}\implies \cfrac{-150}{-80}\implies \cfrac{15}{8}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-500=\cfrac{15}{8}(x-220)[/tex]