document.write( "Question 697381: the midpoint of \"AB\" is M. If the coordinates of A are (2,-6) and the coordinates of M are (5,-1) what are the coordinates of B? \n" ); document.write( "

Algebra.Com's Answer #429953 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are looking for B( x,y ) which is
\n" ); document.write( "an endpoint.
\n" ); document.write( "The x-coordinate of the mid-point is
\n" ); document.write( "defined as:
\n" ); document.write( "(1) $\"+%28+x%5BA%5D+%2B+x%5BB%5D+%29+%2F+2+=+x%5BM%5D+\"$
\n" ); document.write( "The y-coordinate of the mid-point is
\n" ); document.write( "defined as:
\n" ); document.write( "(2) $\"+%28+y%5BA%5D+%2B+y%5BB%5D+%29+%2F+2+=+y%5BM%5D+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+x%5BA%5D+=+2+\"$
\n" ); document.write( " $\"+y%5BA%5D+=+-6+\"$
\n" ); document.write( " $\"+x%5BM%5D+=+5+\"$
\n" ); document.write( " $\"+y%5BM%5D+=+-1+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Filling in the numbers:
\n" ); document.write( "(1) $\"+%28+2+%2B+x%5BB%5D+%29+%2F+2+=+5+\"$
\n" ); document.write( "(2) $\"+%28+-6+%2B+y%5BB%5D+%29+%2F+2+=+-1+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+2+%2B+x%5BB%5D+=+10+\"$
\n" ); document.write( "(1) $\"+x%5BB%5D+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+-6+%2B+y%5BB%5D+=+-2+\"$
\n" ); document.write( "(2) $\"+y%5BB%5D+=+4+\"$
\n" ); document.write( "----------------
\n" ); document.write( "The coordinates of B are: B( 8,4 )\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );