# What is the slope of the line passing through the following points:  (6,-1) ; (-1, 5)?

Feb 1, 2016

slope$= - \frac{6}{7}$

#### Explanation:

Recall that the slope of a line can be calculated with the formula:

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

where:
$m =$slope
$\left({x}_{1} , {y}_{1}\right) = \left(6 , - 1\right)$
$\left({x}_{2} , {y}_{2}\right) = \left(- 1 , 5\right)$

To find the slope of the line, substitute your known values into the formula:

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

$m = \frac{5 - \left(- 1\right)}{- 1 - 6}$

$m = \frac{6}{-} 7$

$m = - \frac{6}{7}$

$\therefore$, the slope of the line that passes through the points is $- \frac{6}{7}$.