# What is the slope of the line passing through the following points:  (8,10), (6,2)?

Jun 22, 2018

$m = 4$

#### Explanation:

Determine the slope:

$\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right) = \left(6 , 2\right)$

$\left(\textcolor{red}{{x}_{2}} , \textcolor{red}{{y}_{2}}\right) = \left(8 , 10\right)$

$\textcolor{g r e e n}{m} = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

color(green)m =(color(red)(10)-color(blue)(2))/(color(red)(8 )-color(blue)(6))=8/2=4

Jun 22, 2018

$m = 4$

#### Explanation:

Slope is essentially $\frac{\Delta y}{\Delta x}$, where the Greek letter Delta ($\Delta$), means "change in".

We need to find out how much our $y$ changes and how much our $x$ changes.

$\Delta y = 10 - 2 = 8$

$\Delta x = 8 - 6 = 2$

Plugging these into our slope formula, we get

$\frac{8}{2} = 4$ as our slope.

Hope this helps!