# How do you find the slope given A(-3,2) and B ( 0,4)?

Apr 22, 2016

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

#### Explanation:

$A \left(- 3 , 2\right)$
$B = \left(0 , 4\right)$
${A}_{x} = - 3$
${A}_{y} = 2$
${B}_{x} = 0$
${B}_{y} = 4$
$m = \text{slope}$

$m = \frac{{B}_{y} - {A}_{y}}{{B}_{x} - {A}_{x}}$

$m = \frac{4 - 2}{0 + 3}$

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

Apr 22, 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 ${x}_{1} , {y}_{1}$ are the coordinates of the first point, ${x}_{2} , {y}_{2}$ are the coordinates of the second point, and $m$ is what the slope.

Let's call $\left(- 3 , 2\right)$ the first point and $\left(0 , 4\right)$ is the second point, although it doesn't matter which one is the first or second, you'll always get the same answer. Applying this:

$m = \frac{4 - 2}{0 - \left(- 3\right)}$
$m = \frac{2}{3}$