Mathematics: What is the distance of (-2, -2) and (6, -4)

What is the distance of (-2, -2) and (6, -4)

hickslily9

31.01.2022

The answer is

$2 \sqrt{17} \: \: units$

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 (-2, -2) and (6, -4)

The distance between them is

$d = \sqrt{ ({ - 2 - 6})^{2} + ({ - 2 + 4})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 2})^{2} } \\ = \sqrt{64 + 4} \\ = \sqrt{68} \\$

We have the final answer as

$2 \sqrt{17} \: \: units$

Hope this helps you

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