# What is the slope of the line passing through the following points:  (-2, 5) , (1,2)?

Feb 17, 2016

Slope: $\left(- 1\right)$

#### Explanation:

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

For $\left({x}_{1} , {y}_{1}\right) = \left(- 2 , 5\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(1 , 2\right)$ this becomes
$\textcolor{w h i t e}{\text{XXX}} m = \frac{2 - 5}{1 - \left(- 2\right)} = \frac{- 3}{3} = - 1$