# How do you find the distance between (7,3), (-1,-4)?

Aug 22, 2016

$= 10.63$

#### Explanation:

$= \sqrt{{\left(- 1 - 7\right)}^{2} + {\left(- 4 - 3\right)}^{2}}$

$= \sqrt{{\left(- 8\right)}^{2} + {\left(- 7\right)}^{2}}$

$= \sqrt{64 + 49}$

$= \sqrt{113}$

$= 10.63$

Aug 22, 2016

The distance between $\left(7 , 3\right)$ and $\left(- 1 , - 4\right)$ is $10.63$.

#### Explanation:

The distance between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by

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

Hence distance between $\left(7 , 3\right)$ and $\left(- 1 , - 4\right)$ is

$\sqrt{{\left(- 1 - 7\right)}^{2} + {\left(- 4 - 3\right)}^{2}}$

= $\sqrt{{\left(- 8\right)}^{2} + {\left(- 7\right)}^{2}}$

= $\sqrt{64 + 49}$

= $\sqrt{113} = 10.63$