# How do you find the slope of the line through the following pairs of points (-3,-1) (1,8)?

Jul 22, 2015

$m = \frac{9}{4}$

#### Explanation:

The slope of a line can be determined by using the formula $m = \frac{{y}_{2} , {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, and $\left({x}_{1} , {y}_{1}\right)$ and #(x_2,y_2) are two points on the line.

$\left({x}_{1} , {y}_{1}\right) = \left(- 3 , - 1\right)$
$\left({x}_{2} , {y}_{2}\right) = \left(1 , 8\right)$

$m = \frac{8 - \left(- 1\right)}{1 - \left(- 3\right)}$ =

$m = \frac{8 + 1}{1 + 3}$ =

$m = \frac{9}{4}$