# What is the distance between (5,-10) and (4,-2)?

Apr 10, 2018

$\sqrt{65}$.
You would apply the distance formula here, which is $\sqrt{{\left({x}_{1} - {x}_{2}\right)}^{2} + {\left({y}_{1} - {y}_{2}\right)}^{2}}$.
When you plug it in, you get sqrt((5-4)^2+(-10+2) - the $- 10 - \left(- 2\right)$ is the same thing as $- 10 + 2$.
This simplifies to $\sqrt{{\left(1\right)}^{2} + {\left(8\right)}^{2}}$, or just $\sqrt{1 + 64}$, and then to just #sqrt(65).