# What is the distance between (-8,67) and (-1,53)?

Mar 10, 2018

$7 \cdot \sqrt{5} \approx 15.65 = d$

#### Explanation:

The distance of two points can be calculated with pythagoras.

${\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2} = {d}^{2}$
${p}_{1} \left(- 8 , 67\right)$
${p}_{2} \left(- 1 , 53\right)$
${\left(- 1 - \left(- 8\right)\right)}^{2} + {\left(53 - 67\right)}^{2} = {d}^{2}$
${7}^{2} + {\left(- 14\right)}^{2} = {d}^{2} | \sqrt{}$
$\sqrt{49 + 196} = d$
$\sqrt{245} = d$
$7 \cdot \sqrt{5} \approx 15.65 = d$