# What is the distance between (5, –1) and  (-5,3) ?

Apr 21, 2018

color(indigo)("Distance between the two points " d = 10.77 " units"

#### Explanation:

$\left({x}_{1} , {y}_{1}\right) = \left(5 , - 1\right) , \left({x}_{2} , {y}_{2}\right) = \left(- 5 , 3\right)$

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

d =sqrt(( -5-5)^2 + ( 3 + 1)^2) = sqrt(10^2 + 4^2 = sqrt116

color(indigo)("Distance between the two points " d = 10.77 " units"