# What is the slope of the line passing through  (3,7) ; (-5,-9) ?

Jan 29, 2016

slope = 2

#### Explanation:

The slope of a line joining 2 points can be calculated using the

$\textcolor{b l u e}{\text{ gradient formula }}$

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

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

are 2 points.

let $\left({x}_{1} , {y}_{1}\right) = \left(3 , 7\right) , \left({x}_{2} , {y}_{2}\right) = \left(- 5 , - 9\right)$

hence m $= \frac{- 9 - 7}{- 5 - 3} = \frac{- 16}{-} 8 = 2$