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The midpoint of AB is M (6,-1). if the coordinates of A are (4,-4) , what are the coordinates of B

User Enobrev
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1 Answer

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Take into account that the midpoint in between the points (x1,y1) and (x,2y,2) is given by:

xo = (x1 + x2)/2

yo = (y1 + y2)/2

in this case you have

(x1,y1) = (4,-4)

(xo,yo) = (6,-1)

by using the expression for xo and yo, you can find the values of the coordinate of point B, as follow:

xo = (x1 + x2)/2

2xo = x1 + x2

x2 = 2xo - x1

x2 = 2(6) - 4

x2 = 8

yo = (y1 + y2)/2

2yo = y1 + y2

y2 = 2yo - y1

y2 = 2(-1) - (-4)

y2 = 2

Hence, the coordinates of point B is

(xo,yo) = (8,2)

User Babu Swami
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