# How do you find the slope of the line passing through the points (6, -1) and (-9, 4)?

Sep 25, 2016

Slope of a line passing through the points $\left(6 , - 1\right)$ and $\left(- 9 , 4\right)$ is $- \frac{1}{3}$

#### Explanation:

Slope of a line passing through the points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Hence slope of a line passing through the points $\left(6 , - 1\right)$ and $\left(- 9 , 4\right)$ is

$\frac{4 - \left(- 1\right)}{- 9 - 6}$

= $\frac{4 + 1}{- 15}$

= $\frac{5}{-} 15 = - \frac{1}{3}$