# Distance Between Two Points

Description for the calculation of the distance between two points

## Distance Formula

For find the Distance Between Two Points use the distance formula

$$d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$
• In the formula, the $$x$$ and $$y$$ represent the numbers from two points on a coordinate plane.

• It does not matter which point is first and which one is second—the answer will be the same.

The following example calculates the distance between the points $$(0, -2)$$ and $$(8, 4)$$

$$d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$

$$d=\sqrt{(8-0)^2 + (4-(-2))^2}$$

$$d=\sqrt{(8)^2 + (6)^2}$$

$$d=\sqrt{64 + 36}$$

$$d=\sqrt{100} = 10$$

The distance between the points $$(0, -2)$$ and $$(8, 4)$$ is $$10$$

The distance between two points on a coordinate plane, is also finding the length of a segment that connects the two points.