# How do you calculate the slope of (0,5) and (5,0)?

Jul 19, 2015

Use the equation for slope to find slope $m = - 1$

#### Explanation:

If a line passes through 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 $\left({x}_{1} , {y}_{1}\right) = \left(0 , 5\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(5 , 0\right)$.

Then:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{0 - 5}{5 - 0} = \frac{- 5}{5} = - 1$