Question

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

Answer 1

Answer:

The answer is

$\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units$

Step-by-step 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

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

We have the final answer as

$\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units$

Hope this helps you