# How do you find the slope given (-2 2) (5 3)?

Jul 19, 2018

The slope is $\frac{1}{7}$.

#### Explanation:

To find the slope given two points, we use the formula $\text{rise"/"run}$, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Plug in the given points into the formula:
$\frac{3 - 2}{5 - \left(- 2\right)} = \frac{1}{7}$

Therefore, the slope is $\frac{1}{7}$.

Hope this helps!

Jul 19, 2018

$\frac{1}{7}$

#### Explanation:

Slope is given by the formula

$\frac{\Delta y}{\Delta x}$

where the Greek letter $\Delta$ (Delta) is shorthand for change in.

We just see how much our $y$ changes by, and divide it by how much our $x$ changes by.

$y$ goes from $2$ to $3$, which represents a $\Delta y$ of $1$.

$x$ goes from $- 2$ to $5$, which represents a $\Delta x$ of $7$.

Dividing these, we get

$\frac{1}{7}$

Hope this helps!