The mid point of point M(4,1) and N(x,y) is (2, -4). Find the coordinates of N.
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If r and s are positive numbers, what are the coordinates of the midpoint of line segment MN in the xy-plane?
(1) The coordinates of M are (r; 3 - s).
(2) The coordinates of N are (3 - r; s).
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Answer:
4+x , 1+y =2,-4
2 2
4+x =2
2
4+x=2×2
x=4-4=0
x=0
1+y =-4
2
1+y= -4×2
y=-8-1=
y= -9
N(0,-9)
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