# What is the distance between the points (9.4, 2.5) and (-3.2, 8.6)?

Nov 6, 2016

The distance is $\approx 14$

#### Explanation:

The distance, d, between two points is:

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

Using the two given points:

$d = \sqrt{{\left(- 3.2 - 9.4\right)}^{2} + {\left(8.6 - 2.5\right)}^{2}}$

$d = \sqrt{{\left(- 12.6\right)}^{2} + {\left(6.1\right)}^{2}}$

$d = \sqrt{158.76 + 37.21}$

$d = \sqrt{195.97}$

$d \approx 14$