document.write( "Question 1204092: If M is the midpoint of XY, find the coordinates of X if M (-3,-1) and Y (-8,6) \n" ); document.write( "

Algebra.Com's Answer #840120 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Use the midpoint formula and formal algebra if you want to solve the problem.

\n" ); document.write( "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.

\n" ); document.write( "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.

\n" ); document.write( "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.

\n" ); document.write( "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.

\n" ); document.write( "ANSWER: X (2,-8)

\n" ); document.write( " \n" ); document.write( "

\n" );