Answer:
D. [tex]\sqrt{8}[/tex]
Step-by-step explanation:
We want to find the distance between (-6, 4) and (-8, 6).
First, we find the difference:
d = (-8 - (-6), 6 - 4)
d = (-8 + 6, 2)
d = (-2, 2)
We now find the magnitude:
[tex]|d| = \sqrt{x^2 + y^2}[/tex]
where x = x coordinate, y = y coordinate
[tex]|d| = \sqrt{(-2)^2 + (2)^2} \\\\|d| = \sqrt{4 + 4} = \sqrt{8}[/tex]
The answer is Choice D.
