# Distance Between Two Points

The distance between 2 points on a graph is really the **hypotenuse** of a right-angled triangle.

**Pythagoras's Rule** is used to find the distance between 2 points on a graph.

**Distance = √(x**_{2} – x_{1}) ^{2} + (y_{2} – y_{1}) ^{2}

## Example One - Distance between Points

What is the distance between the points (1,5) and (4,9)?

**Answer:**

(x_{1}, y_{1}) = (1,5)

(x_{2}, y_{2}) = (4,9)

Distance = √(x_{2} – x_{1}) ^{2} + (y_{2} – y_{1}) ^{2}

= √(4 – 1) ^{2} + (9 – 5) ^{2}

= √25

= 5

## Questions - Distance between Points

**Q1.** (2,5) and (7,17)

**Q2.** (2,1) and (4,5)

**Answers**

**A1.** 13

**A2.** 4.5