# What is the distance between (8, 2)  and  (-6,7) ?

Mar 26, 2018

$\text{The distance is " sqrt 221 " units}$.

#### Explanation:

distance between $A \left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$ on xy plane:

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

$d = \sqrt{{\left(8 - \left(- 6\right)\right)}^{2} + {\left(2 - 7\right)}^{2}}$

$d = \sqrt{221}$