# How do you find the distance between the points (4/5, -1), (2,-1/2)?

Feb 18, 2017

Distance = $1.3$

#### Explanation:

The distance between two points is found by finding the length of the line that would join them The formula is based on the Theorem of Pythagoras.

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

Using the given points: $\left(\frac{4}{5} , - 1\right) \mathmr{and} \left(2 , - \frac{1}{2}\right)$

= sqrt((-1/2-(-1))^2 +(2-4/5)^2

$= \sqrt{{\left(\frac{1}{2}\right)}^{2} + {\left(\frac{6}{5}\right)}^{2}}$

$= \sqrt{\frac{1}{4} + \frac{36}{25}}$

$= \sqrt{\frac{25 + 144}{100}}$

$= \sqrt{\frac{169}{100}}$

$= \frac{13}{10}$

$= 1.3$