# How do you find the slope of the line passing through the points A (-3, 10) B (-5, -4)?

May 2, 2018

color(purple)(M_(AB) = 14/3

#### Explanation:

$\text{Slope of a line knowing two points on the line is given by }$

$M = \text{Rise" / "Run} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\text{Given : } A \left({x}_{1} , {y}_{1}\right) = \left(- 3 , 10\right) , B \left({x}_{2} , {y}_{2}\right) = \left(- 5 , - 4\right)$

$\text{Slope } {M}_{A B} = \frac{- 4 - 10}{- 5 + 3} = \frac{- 14}{- 2}$

color(purple)(M_(AB) = 7