# What is the slope of the line passing through the following points:  (11.40,3.42); (1.16,4.09)?

Mar 16, 2017

See the entire solution process below:

#### Explanation:

The slope can be found by using the formula: $m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $m$ is the slope and ($\textcolor{b l u e}{{x}_{1} , {y}_{1}}$) and ($\textcolor{red}{{x}_{2} , {y}_{2}}$) are the two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{4.09} - \textcolor{b l u e}{3.42}}{\textcolor{red}{1.16} - \textcolor{b l u e}{11.40}} = \frac{0.67}{-} 10.24 = - \frac{0.67}{10.24} \times \frac{10}{10} = - \frac{67}{1024}$