Question

Find the average rate of change between the pair of points (-8, – 11), (-10, -6)

Answer 1

`\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-11)}}}{\underset{run} {\underset{x_2}{-10}-\underset{x_1}{(-8)}}}\implies \cfrac{-6+11}{-10+8}\implies \cfrac{5}{-2}\implies -\cfrac{5}{2}\leftarrow \begin{array}{llll} \textit{slope or}\\ \textit{average rate}\\ \textit{of change} \end{array}`