# What is the slope of the line passing through the following points:  (2,7) , (5,1)?

Apr 4, 2016

Slope of the line is $- 2$.

#### Explanation:

Slope of a line passing through $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by

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

As the given points are $\left(2 , 7\right)$ and $\left(5 , 1\right)$, slope of line is given by

$\frac{1 - 7}{5 - 2} = - \frac{6}{3} = - 2$