Question

Find the slope between two points on a graph that are located at (9, 1.4) and
(4.2, 4).

Answer 1

`(\stackrel{x_1}{9}~,~\stackrel{y_1}{1.4})\qquad (\stackrel{x_2}{4.2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1.4}}}{\underset{run} {\underset{x_2}{4.2}-\underset{x_1}{9}}} \implies \cfrac{2.6}{-4.8}\implies -\cfrac{ ~~ (26)/(10)~~ }{(48)/(10)}\implies -\cfrac{26}{10}\cdot \cfrac{10}{48}\implies -\cfrac{13}{24}`