# How do you find the slope of a line passing through points (5,1) and (2,7)?

Jan 10, 2016

slope is $- 2$

#### Explanation:

Always remember (actually helps in the SAT :p) that slope of the line passing through two points $\left(x 1 , y 1\right) , \left(x 2 , y 2\right)$ is
$m = \frac{y 2 - y 1}{x 2 - x 1}$

Here x1=5, x2=2, y1=1, y2=7

Putting these in formula we get

$m = \frac{7 - 1}{2 - 5}$

$m = \frac{6}{- 3}$

$m = - 2$

Additional note: If you want to go a step further and find the angle of between the line and x-axis, the formula is

$\theta = {\tan}^{-} 1 m$