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.


More information and examples you find here