Question

Consider the following pair of points.

(9,-8) and (-7,-5)
Determine the distance between the two points.

Answer 1

The answer is

`√(265) \: \: or \: \: 16.28 \: \: \: \: 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

(9,-8) and (-7,-5)

The distance between them is

`d = \sqrt{ ({9 + 7})^(2) + ({ - 8 + 5})^(2) } \\ = \sqrt{ {16}^(2) + ( { - 3})^(2) } \\ = √(256 + 9) \: \: \: \: \: \: \: \: \: \\ = √(265) \: \: \: \: \: \: \\ = 16.27882`

We have the final answer as

`√(265) \: \: or \: \: 16.28 \: \: \: \: units`

Hope this helps you