[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad
(\stackrel{x_2}{1}~,~\stackrel{y_2}{6})
\\\\\\
% slope = m
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-4}{1-(-5)}\implies \cfrac{6-4}{1+5}\implies \cfrac{2}{6}\implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_2= m(x- x_2)}\implies y-6=\cfrac{1}{3}(x-1)[/tex]
bearing in mnd that for the point-slope form, you can always fill it in with either x₁, y₁, or x₂, y₂, either one will do.
