SOLUTION: If M is the midpoint of XY, find the coordinates of X if M (-3,-1) and Y (-8,6)

Question 1204092: If M is the midpoint of XY, find the coordinates of X if M (-3,-1) and Y (-8,6)
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
If M is the midpoint of XY, find the coordinates of X if
The mid point formula is given by AMP Parsing Error of [ ((x1+x2)/2 , (y1+y2)/2) ]: Invalid expression. Closing bracket expected ,(y1+y2)/2) at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 187. . where x1y1 and x2y2 are the co ordinates of the end points of the segment and (x,y) are the cordinates of mid point.
M (-3,-1) and Y (-8,6)
Let coordinates of X be(x2,y2)
-3 = (-8+x2)/2
2*-3= -8+x2
-6+8=x2
x2=2
-1= (6+y2)/2
-1*2= 6+y2
-2=6+y2
y2=-8
X~(2,-8)

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Use the midpoint formula and formal algebra if you want to solve the problem.

But it is much easier -- and you will have a better understanding of HOW you are solving the problem -- if you work the problem informally.

M is the midpoint of XY, so when you move from Y(-8,6) to M(-3,-1) you have gone halfway from Y to X.

In doing that, your x value has changed from -8 to -3, a change of +5, so to get to X the x value needs to again change by +5; -3+5 = 2. So the x coordinate of X is 2.

And in doing that, your y value has changed from 6 to -1, a change of -7, so to get to X the y value needs to again change by -7; -1-7 = -8. So the y coordinate of X is -8.

ANSWER: X (2,-8)

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