# What is the distance between (-10, 6) and (5, 2) ?

Jan 24, 2016

The distance formula for Cartesian coordinates is

d=sqrt((x_2-x_1)^2+(y_2-y_1)^2
Where ${x}_{1} , {y}_{1}$, and${x}_{2} , {y}_{2}$ are the Cartesian coordinates of two points respectively.
Let $\left({x}_{1} , {y}_{1}\right)$ represent $\left(- 10 , 6\right)$ and $\left({x}_{2} , {y}_{2}\right)$ represent $\left(5.2\right)$.
implies d=sqrt((5-(-10))^2+(2-6)^2
implies d=sqrt((5+10)^2+(2-6)^2
implies d=sqrt((15)^2+(-4)^2
implies d=sqrt(225+16
implies d=sqrt(241

Hence the distance between the given points is $\sqrt{241}$ units.