# What is the distance between (-2,13) and (15,-18)?

Apr 4, 2018

$35.36$

#### Explanation:

(To the tune of "On Top of Spaghetti")

When finding the distance between two points, subtract both the x's and then both y's. Square both of these numbers and then find the sum. Then find the square root and then you are done.

In other words,
for the points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

Your points are $\left(- 2 , 13\right)$ and $\left(15 , - 18\right)$, so
$d = \sqrt{{\left(15 - \left(- 2\right)\right)}^{2} + {\left(\left(- 18\right) - 13\right)}^{2}}$
$d = \sqrt{{17}^{2} + {\left(- 31\right)}^{2}}$
$d = \sqrt{1250}$
$d \approx 35.36$