# What is the length of the line segment with endpoints (-3,4.5) and (5, 4.5)?

Jan 13, 2017

Length: $\textcolor{g r e e n}{8}$ units

#### Explanation:

The easiest way to see this is to note that both points are on the same horizontal line ($y = 4.5$) so the distance between them is simply
$\textcolor{w h i t e}{\text{XXX}} \left\mid \Delta x \right\mid = \left\mid - 3 - 5 \right\mid = 8$

If you really want you could use the more general distance formula:
color(white)("XXX")"distance" = sqrt((Deltax)^2+(Deltay)^2)

$\textcolor{w h i t e}{\text{XXXXXXXX}} = \sqrt{{\left(- 3 - 5\right)}^{2} + {\left(4.5 - 4.5\right)}^{2}}$

$\textcolor{w h i t e}{\text{XXXXXXXX}} = \sqrt{{\left(- 8\right)}^{2} + {0}^{2}}$

$\textcolor{w h i t e}{\text{XXXXXXXX}} = \sqrt{64}$

$\textcolor{w h i t e}{\text{XXXXXXXX}} = 8$