# How do you calculate the distance between F = (2,2) and M = (5,-4)?

The answer is $D = \sqrt{45} = 3 \sqrt{5}$

#### Explanation:

The formula between two points in cartesian coordinates is

D=sqrt((x_1-x_2)^2+(y_1-y_2)^2

hence we replace the coordinates of the two points in the formula above and we get

$D = \sqrt{{\left(2 - 5\right)}^{2} + {\left(2 + 4\right)}^{2}} = \sqrt{9 + 36} = \sqrt{45}$