Question

What is the slope of the line that passes through the points (2, 1)(2,1) and (17, -17) ?(17,−17)? Write your answer in simplest form.

Answer 1

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{-17}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{17}-\underset{x_1}{2}}}\implies \cfrac{-18}{15}\implies -\cfrac{6}{5}$