Question

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

Answer 1

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