# How do you find the slope given (–3, –4) and (–3, 3)?

May 17, 2016

The slope is infinite. In other words, the two points form a vertical line.

#### Explanation:

The slope given two points on a Cartesian Plane, $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Hence, slope given two points $\left(- 3 , - 4\right)$ and $\left(- 3 , 3\right)$ should be

$\frac{3 - \left(- 4\right)}{\left(- 3\right) - \left(- 3\right)}$ or $\frac{3 + 4}{- 3 + 3} = \frac{7}{0} = \infty$

Hence the slope is infinite. In other words the two points form a vertical line.