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Question: Find the midpoint of a line-segment whose endpoints are (8, -16) and (4, -4).


A ) (6, -10)
B ) (6, 10)
C ) (-6, 10)
D ) (10, 6)

Steps to derive

1 The endpoints of the line segment has coordinates (8, -16) and (4, -4).

2 Midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1+ y2)/2)
 [Use the midpoint formula.]

3 
 [Substitute the values.]
3 Midpoint = ((8+4)2, (-16+(-4))2)

 [Simplify.]
4 = (122, - 202)

 [Write the fractions in the simplest form.]
5 = (6, -10)

6 The midpoint of the line segment is (6, -10).



Hence the right answer is Option A

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