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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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