# How do you find the distance between (2.3, 4.5) and (–3.4, –5.2)?

Nov 14, 2014

Distance Formula

The distance $D$ between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ can be found by

$D = \sqrt{{\left({x}_{1} - {x}_{2}\right)}^{2} + {\left({y}_{1} - {y}_{2}\right)}^{2}}$

Let $\left({x}_{1} , {y}_{1}\right) = \left(2.3 , 4.5\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(- 3.4 , - 5.2\right)$.

$D = \sqrt{{\left[2.3 - \left(- 3.4\right)\right]}^{2} + {\left[4.5 - \left(- 5.2\right)\right]}^{2}} = \sqrt{126.58} \approx 11.25$

I hope that this was helpful.