# What is the distance between two points?

The distance between any two points is the length of the line segment joining the points.

## Answer: The distance, d, between two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is calculated with the formula: d = √ [ (x_{2 }− x_{1})^{2 }+ (y_{2 }− y_{1})^{2 }]

Let us understand how to use the distance formula to find the distance between two points with the given coordinates.

**Explanation:**

The distance, d, between two points whose coordinates are (x_{1}, y_{1}) and (x_{2}, y_{2}) is:

d = √ [ (x_{2 }− x_{1})^{2 }+ (y_{2 }− y_{1})^{2 }]

For example, the distance between the points (2, 4) and (5, 9) is d = √ [(5 - 2)^{2} + (9 - 4)^{2}] = √34 = 5.83 units

### Thus, the distance between two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is calculated with the formula: d = √ [ (x_{2 }− x_{1})^{2 }+ (y_{2 }− y_{1})^{2 }]

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