# How do you find the distance between the points (0,2) and (3,0) on a graph?

Mar 21, 2016

Distance = $\sqrt{13}$

#### Explanation:

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

In your question ${x}_{2}$ is $3$ and ${x}_{1}$ is $0$. And ${y}_{2}$ is $0$ and ${y}_{1}$ is $2$.
Substituting these values in the distance formula I get:

D= $\sqrt{{\left(3 - 0\right)}^{2} + {\left(0 - 2\right)}^{2}}$

D= $\sqrt{{\left(3\right)}^{2} + {\left(- 2\right)}^{2}}$

D= $\sqrt{9 + 4}$

Distance = $\sqrt{13}$