using the provided points off the line.
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2})\\\\\\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-2}{0-2}\implies \cfrac{-4}{-2}\implies 2\\\\\\\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-2=2(x-2)\\\\\\y-2=2x-4\implies y=2x-2[/tex]
