document.write( "Question 1185204: Given the Midpoint (9, -4) and an Endpoint (-8, 2), find the other end point. \r
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Algebra.Com's Answer #815982 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Imagine walking along this path.

\n" ); document.write( "From the endpoint (-8,2) to the midpoint (9,-4), you have walked (9-(-8))=17 units in the x direction and (-4-2)=-6 units in the y direction.

\n" ); document.write( "Since you have walked halfway, to get to the other endpoint you need to walk another 17 units in the x direction and another -6 units in the y direction.

\n" ); document.write( "9+17=26; -4+(-6)=-10

\n" ); document.write( "ANSWER: The other endpoint is (26,-10)

\n" ); document.write( "You could use formal algebra and the midpoint formula to solve the problem:

\n" ); document.write( "A(-8,2); B(x,y); midpoint M(9,-4)

\n" ); document.write( "x coordinate of B:
\n" ); document.write( "\"%28%28-8%29%2Bx%29%2F2+=+9\"
\n" ); document.write( "\"-8%2Bx=18\"
\n" ); document.write( "\"x=18%2B8=26\"

\n" ); document.write( "y coordinate of B:
\n" ); document.write( "\"%28%282%29%2By%29%2F2=-4\"
\n" ); document.write( "\"2%2By=-8\"
\n" ); document.write( "\"y=-8-2=-10\"

\n" ); document.write( "(x,y) = (26,-10)

\n" ); document.write( "But plugging numbers into formulas doesn't help very much if you are trying to UNDERSTAND how to solve the problem....

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