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A segment has endpoint (-4,8) and 4,12) what are the coordinates of the midpoint

User BogdanC
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8.1k points

2 Answers

5 votes
de midpoint formula
the midpoint of the poins (x1,y1) and (x2,y2) is

( (x1+x2)/(2), (y1+y2)/(2))
basically, take their average

given
(-4,8) and (4,12)
x1=-4
y1=8
x2=4
y2=12

( (-4+4)/(2), (8+12)/(2))

( (0)/(2), (20)/(2))
(0,10)
midoint is (0,10)
User HENG Vongkol
by
8.2k points
5 votes
The x coordinates of each point are -4 and 4. Add them up to get
-4+4 = 0

Then cut this result in half to get
0/2 = 0

So the x coordinate of the midpoint is 0

Similarly, the y coordinates of the two points are 8 and 12. They add to 8+12 = 20

Half of that result is 20/2 = 10

So the y coordinate of the midpoint is 10

The final answer here is the midpoint is (0,10)
User Dmitry Makarenko
by
7.5k points

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