# What is the distance between (-4, 6) and  (5,-3) ?

Jun 20, 2018

$9 \sqrt{2} \approx 12.73$

#### Explanation:

Given: $\left(- 4 , 6\right) , \left(5 , - 3\right)$. Find the distance.

Distance formula: $d = \sqrt{{\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2}}$

$d = \sqrt{{\left(6 - - 3\right)}^{2} + {\left(- 4 - 5\right)}^{2}}$

$d = \sqrt{{9}^{2} + {\left(- 9\right)}^{2}}$

$d = \sqrt{81 + 81} = \sqrt{162} = \sqrt{2} \cdot \sqrt{81} = 9 \sqrt{2}$