SOLUTION: what is the midpoint coordinates of of a segment with the given endpoints M(2,-5) N(2,9)

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Question 787120: what is the midpoint coordinates of of a segment with the given endpoints
M(2,-5) N(2,9)
Answer by MathLover1(20850) About Me  (Show Source):
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Solved by pluggable solver: Midpoint


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


Since the first point is (2, -5), we can say (x1, y1) = (2, -5)
So x%5B1%5D+=+2, y%5B1%5D+=+-5


Since the second point is (2, 9), we can also say (x2, y2) = (2, 9)
So x%5B2%5D+=+2, y%5B2%5D+=+9


Put this all together to get: x%5B1%5D+=+2, y%5B1%5D+=+-5, x%5B2%5D+=+2, and y%5B2%5D+=+9

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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 = %282%2B2%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 = %28-5%2B9%29%2F2


Y Coordinate of Midpoint = 4%2F2


Y Coordinate of Midpoint = 2


So the y coordinate of the midpoint is 2



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Summary:


The midpoint of the segment joining the two points (2, -5) and (2, 9) is (2, 2).


So the answer is (2, 2)