Question

Find the distance between A (-2, 4) and B (-6, -7). Leave your answer in exact (radical) form

Answer 1

The answer is

`√(137) \: \: \: \: 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

A (-2, 4) and B (-6, -7).

The distance between them is

`d = \sqrt{ ({ - 2 + 6})^(2) + ({4 + 7})^(2) } \\ = \sqrt{ {4}^(2) + {11}^(2) } \\ = √(16 + 121) \\ = √(137) \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`√(137) \: \: \: \: units`

Hope this helps you