# What is the slope of the line passing through the following points:  ( -1, 5) , (3,-1) ?

Feb 17, 2016

The slope$= \frac{- 3}{2}$

#### Explanation:

The points are:
(-1,5) = color(blue)(x_1,y_1
(3,-1) = color(blue)(x_2,y_2

The slope is found using formula:
slope $= \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$= \frac{- 1 - 5}{3 - \left(- 1\right)}$

$= \frac{- 6}{3 + 1}$

$= \frac{- 6}{4}$

$= \frac{- 3}{2}$