# What is the slope of (4,5) and (1,3)?

Jul 12, 2015

The slope is $\frac{2}{3}$.

#### Explanation:

If a line passes through two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ then its slope $m$ is given by the formula:

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

In our case, let $\left({x}_{1} , {y}_{1}\right) = \left(4 , 5\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(1 , 3\right)$.

Then

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{3 - 5}{1 - 4} = \frac{- 2}{- 3} = \frac{2}{3}$