What is the exact distance between these points.

(4,-8) (10,-10)

(2,2) (10,8)

### 1 Answer | Add Yours

The distance between any two points `A(x_1, y_1)` and `B(x_2, y_2)` is equal to `D = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)` .

The distance between the given pairs of points is:

(4,-8) (10,-10): `sqrt((-10 + 8)^2 + (10 - 4)^2)` =` sqrt(4 + 36)` = `sqrt 40 = 2*sqrt 10`

(2,2) (10,8) : `sqrt((8 - 2)^2 + (10 - 2)^2)` = `sqrt(36 + 64)` = sqrt 100 = 10

**The distance between (4,-8) (10,-10) is `2*sqrt 10` and the distance between (2,2) (10,8) is 10**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes