Answer:
The answer is
Step-by-step explanation:
The distance between two points of a line segment 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
P(-4, -2) and Q(-6, 8)
The length of the line segment is
[tex] |PQ| = \sqrt{ ({ - 4 + 6})^{2} + ({ - 2 - 8})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 10})^{2} } \\ = \sqrt{4 + 100} \\ = \sqrt{104} \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex]2 \sqrt{26} \: \: \: \: units[/tex]
Hope this helps you
