SOLUTION: The point (7,4) is halfway between points A and B. If point A is on the line y=x and point B is on the line y=6, what are the coordinates of points A and B?

Question 1101950: The point (7,4) is halfway between points A and B. If point A is on the line y=x and point B is on the line y=6, what are the coordinates of points A and B?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let point A = ( x1 , y1 )
Let point B = ( x2 , 6 )
The midpoint is ( 7,4 )
-----------------------
The x-value of the midpoint is:
(1)
The y-value of the midpoint is:
(2)
------------------------------
(2)
(2)
----------------------
For point A, , so
(1)
(1)
(1)
---------------------------
A( 2, 2 ) and B( 12, 6 ) are the points
---------------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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