Answer:
The answer is
10 units
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-2,1) and (-8,9)
The distance between them is
[tex]d = \sqrt{ ({ - 2 + 8})^{2} + ({1 - 9})^{2} } \\ = \sqrt{ {6}^{2} + ({ - 8})^{2} } \\ = \sqrt{36 + 64} \: \: \: \: \: \: \: \\ = \sqrt{100} \\ = 10 \: \: \: \: \: \: [/tex]
We have the final answer as
10 units
Hope this helps you
