# How do you find the slope of the line (7,5)(9,-1)?

Aug 29, 2015

Slope $= - 3$

#### Explanation:

Given two point $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
the slope is given by
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the given points $\left(7 , 5\right)$ and $\left(9 , - 1\right)$
this becomes
$\textcolor{w h i t e}{\text{XXX}} m = \frac{- 1 - 5}{9 - 7} = \frac{- 6}{2} = - 3$