# Distance Formula

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

## Formula

The distance between two points (*x*_{1}, *y*_{1}) and (*x*_{2}, *y*_{2})

is √(*x*_{2} - *x*_{1})^{2} + (*y*_{2} - *y*_{1})^{2}.

## Example

*A*(-3, 1), *B*(5, 4)

Then, by the distance formula,*d* = √(5 - (-3))^{2} + (4 - 1)^{2}.

5 - (-3) = 5 + 3

4 - 1 = 3

5 + 3 = 8

3^{2} = 9

8^{2} = 64

64 + 9 = 73

So √73 is the answer.

Let's see what you've solved.

The distance between *A*(-3, 1) and *B*(5, 4) is √73.