Question

What IS the slope of the line that passes through the points (0, -4) and (30, -9)?

Write your answer in simplest form.

Answer 1

`(\stackrel{x_1}{0}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{30}-\underset{x_1}{0}}} \implies \cfrac{-9 +4}{30}\implies \cfrac{-5}{30}\implies {\Large \begin{array}{llll} -\cfrac{1}{6} \end{array}}`