Distance Formula

How to find the distance between two points by using the distance formula: formula, 1 example, and its solution.

Formula

Formula

The distance between two points (x1, y1) and (x2, y2) is
d = √(x2 - x1)2 + (y2 - y1)2.

This is the distance formula.

Example

Example

Solution

The given points are (-3, 1) and (5, 4).

Then the distance d is,
x2 - x1, 5 - (-3)
square
plus,
y2 - y1, 4 - 1
square.

5 - (-3) = 5 + 3
4 - 1 = 3

5 + 3 = 8

82 = 64
+32 = +9

64 + 9 = 73

So d = √73 is the answer.