How do you use the slope formula to find the slope of the line containing the points (7/4, -5/8) and (-2/5, -8/5)?

Nov 30, 2016

Explanation:

Given two points, $\left({x}_{0} , {y}_{0}\right) \mathmr{and} \left({x}_{1} , {y}_{1}\right)$, the slope, m. of the line segment connecting them is:

$m = \frac{{y}_{1} - {y}_{0}}{{x}_{1} - {x}_{0}}$

Given: $\left(\frac{7}{4} , - \frac{5}{8}\right) \mathmr{and} \left(- \frac{2}{5} , - \frac{8}{5}\right)$

$m = \frac{- \frac{8}{5} - - \frac{5}{8}}{- \frac{2}{5} - \frac{7}{4}}$

$m = \frac{- \frac{8}{5} + \frac{5}{8}}{- \frac{2}{5} - \frac{7}{4}} \frac{40}{40}$

$m = \frac{- 64 + 25}{- 16 - 70}$

$m = \frac{- 39}{- 86}$

$m = \frac{39}{86}$