Description for the calculation of the distance between two points
For find the Distance Between Two Points use the distance formula
\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
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.