Question

Find the point-slope equation for the line that passes through the points (5,35) and (-6,-31). Use the first point in your equation.

Answer 1

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{35})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{-31}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-31-35}{-6-5}\implies \cfrac{-66}{-11}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-35=6(x-5)$