[tex]\bf (\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad
(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})
\\\\\\
% slope = m
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-3}{-8-(-10)}\implies \cfrac{-8-3}{-8+10}\implies \cfrac{-11}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=-\cfrac{11}{2}[x-(-10)]
\\\\\\
y-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y=-\cfrac{11}{2}x-52[/tex]
