# What is the slope of the line passing through the following points:  (1, 3), (6,2)?

Jan 23, 2016

slope (m) = $- \frac{1}{5}$

#### Explanation:

To calculate the slope of a line passing through 2 points :

Use the gradient formula : $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

in this question let$\left({x}_{1} , {y}_{1}\right) = \left(1 , 3\right) , \left({x}_{2} , {y}_{2}\right) = \left(6 , 2\right)$

[substitute into the formula to obtain m] :

$m = \frac{2 - 3}{6 - 1} = \frac{- 1}{5} = - \frac{1}{5}$