# What is the distance between (1, -3)  and (-4, 3) ?

Dec 19, 2015

$\sqrt{61}$

#### Explanation:

Find the distance between the two $x$ points

$\left\mid - 4 - 1 \right\mid = 5$

Next find the distance between the two $y$ points

$\left\mid 3 - \left(- 3\right) \right\mid = 6$

Use the pythagorean theorem

${a}^{2} + {b}^{2} = {c}^{2}$

where $a = 5$ and $b = 6$

Solve for c

$c = \sqrt{25 + 36}$

Finally

$c = \sqrt{61}$