# How do you find the slope for (4,-5),(-1,-5)?

May 12, 2016

Slope $= 0$

#### Explanation:

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

For the given example we can replace
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{1} , {y}_{1}\right)$ with $\left(4 , 5\right)$ and
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{2} , {y}_{2}\right)$ with (-1,5)#

So the slope is
$\textcolor{w h i t e}{\text{XXX}} m = \frac{5 - 5}{- 1 - 4} = \frac{0}{- 5} = 0$