# What is the slope of the line between (-1, 5) and (2, 3 )?

May 3, 2018

$- \frac{2}{3}$

#### Explanation:

The slope of a line $\left(m\right)$ is given by the equation:

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

• $\left({x}_{1} , {y}_{1}\right)$ are the first coordinates

• $\left({x}_{2} , {y}_{2}\right)$ are the second coordinates

It doesn't matter which values do you choose for ${x}_{1}$ or ${x}_{2}$, just remember to match them with their corresponding partners of ${y}_{1}$ and ${y}_{2}$, respectively.

So here, the slope will be,

$m = \frac{3 - 5}{2 - \left(- 1\right)}$

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

Even if we switch the first and second coordinates around, it still works:

$m = \frac{5 - 3}{- 1 - 2}$

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

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