# How do you find the slope of the line that passes through (-1, 2) and (3, -4)?

Jan 19, 2016

Answer is :$\text{ } - \frac{6}{4} = - \frac{3}{2}$

#### Explanation:

The slope of a line between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is defined as

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

so, the slope here is

$m = \frac{- 4 - 2}{3 - \left(- 1\right)} = - \frac{6}{4} = - \frac{3}{2}$