# What is the distance between (–7, 8)  and  (3,7) ?

May 4, 2016

$\sqrt{101}$

#### Explanation:

In general: distance between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is sqrt((x_2-x_1)^2+(y_2-y_1)^2

Therefore by inserting ${x}_{1}$ as -7, ${y}_{1}$ as 8, ${x}_{2}$ as 3 and ${y}_{2}$ as 7:

Distance = ${\sqrt{{\left(3 - - 7\right)}^{2} + \left(7 - 8\right)}}^{2}$
Distance = $\sqrt{{10}^{2} + {\left(- 1\right)}^{2}}$
Distance = $\sqrt{100 + 1}$
Distance = $\sqrt{101}$