# What is the slope of the line passing through the following points: (5,-7),(-3,2) ?

Dec 16, 2015

slope$= - \frac{9}{8}$

#### Explanation:

The slope of a line can be calculated with the formula:

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

where:
$m =$slope
$\left({x}_{1} , {y}_{1}\right) = \left(5 , - 7\right)$
$\left({x}_{2} , {y}_{2}\right) = \left(- 3 , 2\right)$

Substitute your known values into the equation to find the slope:

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

$m = \frac{2 - \left(- 7\right)}{- 3 - 5}$

$m = - \frac{9}{8}$

$\therefore$, the slope of the line is $- \frac{9}{8}$.