# How do you find the slope given (-3,2) and (3,6)?

Apr 19, 2016

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

#### Explanation:

To solve this, we can use the gradient formula:
$m = \frac{y 2 - y 1}{x 2 - x 1}$, where $\left(x 1 , y 1\right)$ are the coordinates of the first point, and $\left(x 2 , y 2\right)$ are the coordinates of the second point, and $m$ is what we're trying to find.

Let's call $\left(- 3 , 2\right)$ point 1, and $\left(3 , 6\right)$ point 2. Note that it doesn't matter which one is point 1, you'll get the same result anyway

So using the gradient formula, let's use the data we have and find he gradient:
$m = \frac{6 - 2}{3 - \left(- 3\right)}$
$m = \frac{4}{6}$
$m = \frac{2}{3}$

If you want me to explain why the gradient formula works, just say so