SOLUTION: 1. On a coordinate plane, find the midpoint (M) of a segment with the following endpoints: A(1, 5) and B(5, 10).

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Question 1022406: 1. On a coordinate plane, find the midpoint (M) of a segment with the following endpoints: A(1, 5) and B(5, 10).
Answer by MathLover1(20850)   (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 (1, 5), we can say (x1, y1) = (1, 5)
So ,


Since the second point is (5, 10), we can also say (x2, y2) = (5, 10)
So ,


Put this all together to get: , , , and

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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 =


X Coordinate of Midpoint =


X Coordinate of Midpoint =


X Coordinate of Midpoint =



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 =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


So the y coordinate of the midpoint is 7.5



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Summary:


The midpoint of the segment joining the two points (1, 5) and (5, 10) is (3, 7.5).


So the answer is (3, 7.5)



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