Find distance formula between (-9, 1) & (-5, - 2)

The "distance formula" is a result of the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths.

The distance formula then becomes:

d^2 = ((x2-x1) ^2 + (y2-y1) ^2

In this case:

d^2 = (-5--9) ^2 + (-2-1) ^2

d^2=4^2 + (-3) ^2

d^2=16+9

d^2=25

d=√25

d=5 units