# How do you find the slope of (-4,0) and (1,-5)?

Aug 21, 2015

$m = - 1$

#### Explanation:

First, take a look at how the slope of a line that passes through two points of coordinates $\left({x}_{1} \text{,} {y}_{1}\right)$ and $\left({x}_{2} \text{,} {y}_{2}\right)$ is defined

$\textcolor{b l u e}{\text{slope} = m = \frac{\left({y}_{2} - {y}_{1}\right)}{\left({x}_{2} - {x}_{1}\right)}}$

All you have to do from this point forward is idenify the coordinates of the two points given to you.

The two point are $\left(- 4 , 0\right)$ and $\left(1 , - 5\right)$, which means that you have

$\left\{\begin{matrix}{x}_{1} = - 4 \\ {y}_{1} = 0\end{matrix}\right. \text{ }$ and $\text{ } \left\{\begin{matrix}{x}_{2} = 1 \\ {y}_{2} = - 5\end{matrix}\right.$

Plug these values into the formula for the slope of the line to get

$m = \frac{\left(- 5 - 0\right)}{\left(1 - \left(- 4\right)\right)} = \frac{\left(- 5\right)}{5} = \textcolor{g r e e n}{- 1}$