SOLUTION: Determine the coordinates of the midpoint of the line segment whose endpoints are A(-7, 3, 2) and B(1, 5, 1).

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Question 88028: Determine the coordinates of the midpoint of the line segment whose endpoints are A(-7, 3, 2) and B(1, 5, 1).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to find the midpoint, we need to average each corresponding coordinate. For instance, if we have the first coordinate of -7 for the first point and 1 for the second point, we simply average them like this:

Average of the first coordinate: %28-7%2B1%29%2F2=%28-6%29%2F2=-3


So lets find the averages between the two points
To find , average the x-coordinates between the two points
x%5Bmid%5D=%28-7%2B1%29%2F2=%28-6%29%2F2=-3


So the x-coordinate of the midpoint is -3 (i.e. x=-3)
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To find , average the y-coordinates between the two points
y%5Bmid%5D=%283%2B5%29%2F2=%288%29%2F2=4


So the y-coordinate of the midpoint is 4 (i.e. y=4)
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To find , average the z-coordinates between the two points
z%5Bmid%5D=%282%2B1%29%2F2=%283%29%2F2=1.5


So the z-coordinate of the midpoint is 1.5 (i.e. z=1.5)
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Since the coordinates of the midpoint are x=-3, y=4, z=1.5, this means the midpoint is (-3,4,1.5)