Question

Find the slope of the line that gores through the given points (5,1) and (2/3, -5)

Answer 1

`(\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{(2)/(3)}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{(2)/(3)}-\underset{x_1}{5}}} \implies \cfrac{-6}{~~ -(13 )/(3 ) ~~}\implies \cfrac{(6)/(1)}{~~ (13)/(3 ) ~~}\implies \cfrac{6}{1}\cdot \cfrac{3}{13}\implies \cfrac{18}{13}`