# How do you find the distance between the point A(6,3) and B(14,9)?

Nov 19, 2016

Distance ${d}_{A B} = 10$ units

#### Explanation:

Apply distance formula $d = \setminus \sqrt{{\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2}}$

Given points $\setminus \textcolor{red}{\left({x}_{1} , {y}_{1}\right)} \setminus \leftrightarrow \left(6 , 3\right)$, point A;
$\setminus \textcolor{b l u e}{\left({x}_{2} , {y}_{2}\right)} \setminus \leftrightarrow \left(14 , 9\right)$, point B;
${d}_{A B} = \setminus \sqrt{{\left(\setminus \textcolor{b l u e}{9} - \setminus \textcolor{red}{3}\right)}^{2} + {\left(\setminus \textcolor{b l u e}{14} - \setminus \textcolor{red}{6}\right)}^{2}}$
$\setminus \Rightarrow \setminus \sqrt{{\left(6\right)}^{2} + {\left(8\right)}^{2}} \setminus \Rightarrow \setminus \sqrt{36 + 64} \setminus \Rightarrow \setminus \sqrt{100} \setminus \Rightarrow 10$