SOLUTION: Find the midpoint of the line segment with endpoints (3, 8) and (–7, 2).

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Question 709970: Find the midpoint of the line segment with endpoints (3, 8) and (–7, 2).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Midpoint


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (3, 8), we can say (x1, y1) = (3, 8)
So x%5B1%5D+=+3, y%5B1%5D+=+8


Since the second point is (-7, 2), we can also say (x2, y2) = (-7, 2)
So x%5B2%5D+=+-7, y%5B2%5D+=+2


Put this all together to get: x%5B1%5D+=+3, y%5B1%5D+=+8, x%5B2%5D+=+-7, and y%5B2%5D+=+2

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Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2


X Coordinate of Midpoint = %28x%5B1%5D%2Bx%5B2%5D%29%2F2


X Coordinate of Midpoint = %283%2B-7%29%2F2


X Coordinate of Midpoint = -4%2F2


X Coordinate of Midpoint = -2



So the x coordinate of the midpoint is -2


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Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2


Y Coordinate of Midpoint = %28y%5B1%5D%2By%5B2%5D%29%2F2


Y Coordinate of Midpoint = %288%2B2%29%2F2


Y Coordinate of Midpoint = 10%2F2


Y Coordinate of Midpoint = 5


So the y coordinate of the midpoint is 5



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Summary:


The midpoint of the segment joining the two points (3, 8) and (-7, 2) is (-2, 5).


So the answer is (-2, 5)