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 (x1, y1) and (x2, y2) is sqrt[(x2 - x1)^2 + (y2 - y1)^2].](https://ximpledu.com/en-us/distance-formula/distance-formula-01-02.png "Distance Formula")
The distance between two points (x1, y1) and (x2, y2)
is √(x2 - x1)2 + (y2 - y1)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
32 = 9
82 = 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.
