# What is the slope of the line that contains the points (3,-8) (-7,-4)?

Jan 8, 2016

Slope $= - \frac{2}{5}$

#### Explanation:

Given -$\left(3 , - 8\right) \left(- 7 , - 4\right)$

Let -

${x}_{1} = 3$
${y}_{1} = - 8$
${x}_{2} = - 7$
${y}_{2} = - 4$

Then the formula to calculate slope is-

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\left(- 4\right) - \left(- 8\right)}{\left(- 7\right) - 3} = \frac{- 4 + 8}{- 7 - 3} = \frac{4}{- 10} = - \frac{2}{5}$

Slope $= - \frac{2}{5}$