# How do you find the slope given (1/2, -1); (3, -3/4)?

Aug 12, 2015

The slope between $\left(\frac{1}{2} , - 1\right)$ and $\left(3 , - \frac{3}{4}\right)$ is $\frac{1}{10}$

#### Explanation:

Given two general points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
the slope is given by the equation
$\textcolor{w h i t e}{\text{XXXX}}$$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the specific points $\left(\frac{1}{2} , - 1\right)$ and $\left(3 , - \frac{3}{4}\right)$
this becomes
$\textcolor{w h i t e}{\text{XXXX}}$$m = \frac{- \frac{3}{4} - \left(- 1\right)}{3 - \frac{1}{2}}$

$\textcolor{w h i t e}{\text{XXXXXXX}}$$= \frac{\frac{1}{4}}{\frac{5}{2}}$

$\textcolor{w h i t e}{\text{XXXXXXX}}$$= \frac{1}{10}$