document.write( "Question 265605: The coordinates of M, the midpoint of AB, is (-1,2). If the coordinates of A are (3,-6), find the coordinates of point B. \n" ); document.write( "

Algebra.Com's Answer #195267 by josmiceli(19441) $\"\"$ $\"About$

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The formulas for finding the x and y
\n" ); document.write( "coordinates of the midpoint of a line is:
\n" ); document.write( " $\"M%5Bx%5D+=+%28x%5B1%5D+%2B+x%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"M%5By%5D+=+%28y%5B1%5D+%2B+y%5B2%5D%29%2F2\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"M%5Bx%5D+=+-1\"$
\n" ); document.write( " $\"M%5By%5D+=+2\"$
\n" ); document.write( " $\"x%5B1%5D+=+3\"$
\n" ); document.write( " $\"y%5B1%5D+=+-6\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"M%5Bx%5D+=+%28x%5B1%5D+%2B+x%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"-1+=+%283+%2B+x%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"-2+=+3+%2B+x%5B2%5D\"$
\n" ); document.write( " $\"x%5B2%5D+=+-5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"M%5By%5D+=+%28y%5B1%5D+%2B+y%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"2+=+%28-6+%2B+y%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"4+=+-6+%2B+y%5B2%5D\"$
\n" ); document.write( " $\"y%5B2%5D+=+10\"$
\n" ); document.write( "The coordinates of point B are
\n" ); document.write( "B(-5,10)
\n" ); document.write( " \n" ); document.write( "

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