SOLUTION: The midpoint of MN is point P at (�4, 6). If point M is at (8, �2), what are the coordinates of point N? (�16, 14) (�10, 5) (2, 2) (6, 2)

Question 989546: The midpoint of MN is point P at (�4, 6). If point M is at (8, �2), what are the coordinates of point N?
(�16, 14)
(�10, 5)
(2, 2)
(6, 2)
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use the midpoint formulas. Substitute your values for and then solve for and , the coordinates of the other endpoint.

and

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The x-coordinate of the midpoint is at:

where and are
x-coordinates of the endpoints
----------------------------------
The y-coordinate of the midpoint is at:

where and are
y-coordinates of the endpoints
----------------------------------
I will say that:
( x[1], y[1] ) = M( 8, -2 )
( x[p], y[p] ) = P( -4, 6 )
I need to find N( x[2], y[2] )
--------------------------
First, using:

--------------------
Next, using:

--------------------------------
The other endpoint is at: N( -16, 14 )
--------------------------------
check:

and

OK

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