How do you find the slope of the line through points (5,1) (8,9)?

Apr 6, 2018

The slope between $\left(5 , 1\right)$ and $\left(8 , 9\right)$ is $\frac{8}{3}$.

Explanation:

Given the points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the formula for finding the slope is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Your points are $\left(5 , 1\right)$ and $\left(8 , 9\right)$. We can plug that into our formula.

$m = \frac{9 - 1}{8 - 5} = \frac{8}{3}$

Typically, slope is left in a fraction, but you could venture to say the slope is $2. \overline{6}$.