What is the distance between (2,-14) and (-31,-21)?

Apr 16, 2016

$s = 33 , 73$

Explanation:

$A = \left(2 , - 14\right)$

$B = \left(- 31 , - 21\right)$

${A}_{x} = 2 \text{ } {A}_{y} = - 14$

${B}_{x} = - 31 \text{ } {B}_{y} = - 21$

$\text{s:distance between two points}$

$s = \sqrt{{\left({B}_{x} - {A}_{x}\right)}^{2} + {\left({B}_{y} - {A}_{y}\right)}^{2}}$

$s = \sqrt{{\left(- 31 - 2\right)}^{2} + {\left(- 21 + 14\right)}^{2}}$

$s = \sqrt{{\left(- 33\right)}^{2} + {\left(- 7\right)}^{2}}$

$s = \sqrt{1089 + 49}$

$s = \sqrt{1138}$

$s = 33 , 73$