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


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

4 (122, - 202)
 [Simplify.]

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

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



Hence the right answer is Option B

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