# How do you find the slope given (-8, 1/2) and (10, 1/2)?

Jul 19, 2015

Use the formula for slope to find slope = $0$

#### Explanation:

The slope $m$ of a line passing through points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by the formula:

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

In our case, let $\left({x}_{1} , {y}_{1}\right) = \left(- 8 , \frac{1}{2}\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(10 , \frac{1}{2}\right)$

Then

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\frac{1}{2} - \frac{1}{2}}{10 - \left(- 8\right)} = \frac{0}{18} = 0$

Alternatively, we could have just noted that the $y$ coordinate is the same between the two points, but the $x$ coordinate is different. So we have a horizontal line, which has slope $0$.

graph{1/2+0.0000001x [-2.5, 2.5, -1.25, 1.25]}