Answer:
The answer is
[tex]2 \sqrt{17} \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
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
[tex]d = \sqrt{ ({ - 2 - 6})^{2} + ({ - 2 + 4})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 2})^{2} } \\ = \sqrt{64 + 4} \\ = \sqrt{68} \\ [/tex]
We have the final answer as
[tex]2 \sqrt{17} \: \: units[/tex]
Hope this helps you
