# Distance between two points . What is the distance between the points (0, 5) and (3, 9) ?

Since the problem provides the coordinates of two points, you need to use distance formula such that:

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Identifying `(x_1,y_1) = (0,5)` and `(x_2,y_2) = (3,9)` yields:

`d = sqrt((3 - 0)^2 + (9 - 5)^2)`

`d = sqrt(9 + 16) =>...

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Since the problem provides the coordinates of two points, you need to use distance formula such that:

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Identifying `(x_1,y_1) = (0,5)` and `(x_2,y_2) = (3,9)` yields:

`d = sqrt((3 - 0)^2 + (9 - 5)^2)`

`d = sqrt(9 + 16) => d = sqrt 25 => d = 5`

Hence, evaluating the distance between the given points, using distance formula, yields d = 5.

Approved by eNotes Editorial Team