# Passes through (2,4) and (4,10) Find the slope of the line that passes through the two points?

Apr 2, 2018

Slope$= m = 3$

#### Explanation:

Use the slope formula:

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

Given $\left(2 , 4\right)$ and $\left(4 , 10\right)$

Let

$\left(\textcolor{red}{2} , \textcolor{b l u e}{4}\right) \to \left(\textcolor{red}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$

$\left(\textcolor{red}{4} , \textcolor{b l u e}{10}\right) \to \left(\textcolor{red}{{x}_{2}} , \textcolor{b l u e}{{y}_{2}}\right)$

Substituting in for the slope formula...

$m = \frac{\textcolor{b l u e}{10 - 4}}{\textcolor{red}{4 - 2}} = \frac{\textcolor{b l u e}{6}}{\textcolor{red}{2}} = 3$