[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad
(\stackrel{x_2}{3}~,~\stackrel{y_2}{25})
\\\\\\
% slope = m
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{25-5}{3-(-2)}\implies \cfrac{25-5}{3+2}
\\\\\\
\cfrac{20}{5}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=4[x-(-2)]
\\\\\\
y-5=4(x+2)\implies y-5=4x+8\implies y=4x+13[/tex]
