# What is the slope of the line passing through the following points:  (-3,2) , (9, 6)?

Jan 7, 2016

$\frac{1}{3}$

#### Explanation:

The slope or gradient of a straight line passing through points $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$ may be given by

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

The result in this particular case is hence :

$m = \frac{6 - 2}{9 - \left(- 3\right)} = \frac{4}{12} = \frac{1}{3}$.