# Distance Calculator 2D

## Calculator Use

Calculate the distance between 2 points in a two-dimensional plane.

Enter 2 points as x-y coordinates in the Cartesian coordinate system. Enter (x_{1}, y_{1}) and (x_{2}, y_{2}) to get the distance formula calculation in the 2D plane and find the distance between the 2 points.

Accepts positive or negative numbers, fractions, mixed fractions and decimals.

The calculator answer shows the work for:

- Distance formula using square root of (x
_{2}- x_{1}) + (y_{2}- y_{1}) - Graph of the line segment connecting the two points
- Below the graph find a link to the Slope Calculator for the same two points

## Distance Formula:

The distance between two points is the length of the line connecting them, and the shortest distance is a straight line.

In a 2 dimensional plane, the distance between points (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by the Pythagorean theorem:

## Calculate Distance

To calculate the distance between 2 points, (x_{1}, y_{1}) and (x_{2}, y_{2}), for example, (5, 6) and (-7,11), plug the values into the distance formula:

combining terms inside parentheses you get:

squaring both terms you get,

adding the 2 results,

finally,

### Need Distance in 3 Dimensions?

For three-dimensional 3D space use the Distance Calculator for Three Dimensional Solids.