SOLUTION: M(6, 6) is the midpoint of . The coordinates of S are (8, 9). What are the coordinates of R?

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Question 714836: M(6, 6) is the midpoint of . The coordinates of S are (8, 9). What are the coordinates of R?
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
gien: (, ) is the midpoint of
the coordinates of are (, )
find: the coordinates of

The midpoint
coordinates are: (, )= (,)
plug in given coordinates of the midpoint which are (, ) and also a point to be (, )
(, )= (,)



We now equate to and solve for and then we equate to and solve for .
......multiply both sides by






now we do the same for





so, the coordinates of point are (, )

check:
Solved by pluggable solver: Midpoint


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


Since the first point is (4, 3), we can say (x1, y1) = (4, 3)
So ,


Since the second point is (8, 9), we can also say (x2, y2) = (8, 9)
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 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 =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


Y Coordinate of Midpoint =


So the y coordinate of the midpoint is 6



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Summary:


The midpoint of the segment joining the two points (4, 3) and (8, 9) is (6, 6).


So the answer is (6, 6)





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