# How do you find a slope of (3/4,-2) and (1/4,-3)?

May 17, 2016

The slope is $2$.

#### 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 $\left(\frac{3}{4} , - 2\right)$ and $\left(\frac{1}{4} , - 3\right)$ should be

$\frac{- 3 - \left(- 2\right)}{\frac{1}{4} - \frac{3}{4}} = \frac{- 3 + 2}{- \frac{2}{4}} = \frac{- 1}{- \frac{2}{4}} = \frac{1 \times 4}{2} = 2$

Hence, the slope is $2$.