What is the distance between (-4, 3)  and (-2, 4) ?

Dec 5, 2015

$\sqrt{5}$

Explanation:

The distance between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$
is given by the Pythagorean Theorem as
$\textcolor{w h i t e}{\text{XXX}} d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

In this case
$\textcolor{w h i t e}{\text{XXX}} d = \sqrt{{2}^{2} + {\left(- 1\right)}^{2}} = \sqrt{5}$

The relationship between the point can be seen in the image below: