SOLUTION: Find the midpoint between the given two points. (3, 1) and (9, -11)

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Question 881215: Find the midpoint between the given two points.
(3, 1) and (9, -11)
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, 1), we can say (x1, y1) = (3, 1)
So x%5B1%5D+=+3, y%5B1%5D+=+1


Since the second point is (9, -11), we can also say (x2, y2) = (9, -11)
So x%5B2%5D+=+9, y%5B2%5D+=+-11


Put this all together to get: x%5B1%5D+=+3, y%5B1%5D+=+1, x%5B2%5D+=+9, and y%5B2%5D+=+-11

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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%2B9%29%2F2


X Coordinate of Midpoint = 12%2F2


X Coordinate of Midpoint = 6



So the x coordinate of the midpoint is 6


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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 = %281%2B-11%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, 1) and (9, -11) is (6, -5).


So the answer is (6, -5)