Question

Find the distance between the two given points. (-6, -5) and (2, 0)

Answer 1

The answer is

`√(41) \: \: or \: \: \: 6.403 \: \: \: 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

(-6, -5) and (2, 0)

The distance is

`d = \sqrt{ ({ - 6 - 2})^(2) + ({ - 5 - 0})^(2) } \\ = \sqrt{ ({ - 4})^(2) + ({ - 5})^(2) } \\ = √(16 + 25) \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`√(41) \: \: or \: \: \: 6.403 \: \: \: units`

Hope this helps you