SOLUTION: Find the midpoint M of the segment with endpoints (9, 10) and (−15, −2)

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Question 835193: Find the midpoint M of the segment with endpoints (9, 10) and (−15, −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 (9, 10), we can say (x1, y1) = (9, 10)
So x%5B1%5D+=+9, y%5B1%5D+=+10


Since the second point is (-15, -2), we can also say (x2, y2) = (-15, -2)
So x%5B2%5D+=+-15, y%5B2%5D+=+-2


Put this all together to get: x%5B1%5D+=+9, y%5B1%5D+=+10, x%5B2%5D+=+-15, 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 = %289%2B-15%29%2F2


X Coordinate of Midpoint = -6%2F2


X Coordinate of Midpoint = -3



So the x coordinate of the midpoint is -3


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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 = %2810%2B-2%29%2F2


Y Coordinate of Midpoint = 8%2F2


Y Coordinate of Midpoint = 4


So the y coordinate of the midpoint is 4



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Summary:


The midpoint of the segment joining the two points (9, 10) and (-15, -2) is (-3, 4).


So the answer is (-3, 4)