# What is the distance between (–7, 8)  and  (-2,1) ?

$\sqrt{74}$
The distance between points $\left(x 1 , y 1\right) \mathmr{and} \left(x 2 , y 2\right)$=$\sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2}}$
The distance between (-7,8) and (-2,1)=$\sqrt{{\left(- 2 + 7\right)}^{2} + {\left(1 - 8\right)}^{2}}$
=$\sqrt{74}$