# How do you find the slope of a line passing through the points (3, 1), (9, 4)?

##### 1 Answer
Apr 9, 2016

The gradient of the line passing through two points can be defined by the formula:

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

Were $m$ is the gradient of the line.
Therefore, let the point $\left(3 , 1\right)$ = $\left({x}_{1} , {y}_{1}\right)$
and let the point $\left(9 , 4\right)$ = $\left({x}_{2} , {y}_{2}\right)$

Substituting in the two points and their values we get:

$m = \frac{4 - 1}{9 - 3}$
Simplifying this, we get:

$m = \frac{3}{6}$
$m = \frac{1}{2}$

Therefore the slope of the line is $\frac{1}{2}$.