# What is the slope of the line passing through the following points:  (5, -6) , (-8, 1)?

Feb 7, 2016

$- \frac{7}{13}$

#### Explanation:

To find the gradient (slope ) of a line passing through 2 points use the $\textcolor{b l u e}{\text{ gradient formula}}$

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

where $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \textcolor{b l a c k}{\text{ are coords of 2 points }}$

let $\left({x}_{1} , {y}_{1}\right) = \left(5 , - 6\right) \textcolor{b l a c k}{\text{ and }} \left({x}_{2} , {y}_{2}\right) = \left(- 8 , 1\right)$

$\Rightarrow m = \frac{1 - \left(- 6\right)}{- 8 - 5} = \frac{7}{-} 13 = - \frac{7}{13}$