# How do you find the slope of (-4,2), (5, -4)?

##### 1 Answer
Jul 10, 2015

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = - \frac{2}{3}$

#### Explanation:

Hi there,
To find the slope of line passing through two points, we need to use the slope of line formula which is given by;

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

Where, m = slope $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ be the points of the line.

Here we need to assume $\left({x}_{1} , {y}_{1}\right)$ is (-4,2) and $\left({x}_{2} , {y}_{2}\right)$ is (5,-4).

Now plug the given values in the slope formula, we get

$m = \frac{\left(- 4\right) - \left(2\right)}{\left(5\right) - \left(- 4\right)}$
or, $m = \frac{- 4 - 2}{5 + 4}$
or, $m = \frac{- 6}{9}$
or, $m = - \frac{2}{3}$

Hence the slope of the given points is $- \frac{2}{3}$

Thanks