# How do you find the distance between (7,-10), (-10, -4)?

5\sqrt13\ \text{unit

#### Explanation:

The distance between two points $\left({x}_{1} , {y}_{1}\right) \setminus \equiv \left(7 , - 10\right)$ & $\left({x}_{2} , {y}_{2}\right) \setminus \equiv \left(- 10 , - 4\right)$ in XY-plane is given by following general formula

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

$= \setminus \sqrt{{\left(7 - \left(- 10\right)\right)}^{2} + {\left(- 10 - \left(- 4\right)\right)}^{2}}$

$= \setminus \sqrt{325}$

$= 5 \setminus \sqrt{13}$