Question

Find the distance between each pair of points. (8, -4), (-7, 6)

Answer 1

The answer is

`5 √(13) \: \: \: \: or \: \: \: \: 18.03 \: \: \: \: units`

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, -4), (-7, 6)

We have

`d = \sqrt{( {8 + 7})^(2) + ({ - 4 - 6})^(2) } \\ = \sqrt{ {15}^(2) + ({ - 10})^(2) } \\ = √(225 + 100) \\ = √(325) \: \: \: \: \: \: \: \: \: \: \: \: \\ = 5 √(13) \: \: \: \: \: \: \: \: \: \: \: \: \\ =18.027756 ...`

We have the final answer as

`5 √(13) \: \: \: \: or \: \: \: \: 18.03 \: \: \: \: units`

Hope this helps you