The statement is true.
Step-by-step explanation:
The distance formula is the derived from the Pythagorean theorem.
Let the two points in the plane have coordinates (x1, y1) and (x2, y2).
Draw a right triangle whose hypotenuse joins the two points.
The adjacent side has a length of x2 - x1.
The opposite side has a length of y2 - y1.
Let d = length of the hypotenuse.
From the Pythagorean theorem,
d^2 = (x2 -x1)^2 + (y2 - y1)^2
Take the square root of each side to obtain the distance formula.