document.write( "Question 1101950: The point (7,4) is halfway between points A and B. If point A is on the line y=x and point B is on the line y=6, what are the coordinates of points A and B? \n" ); document.write( "

Algebra.Com's Answer #716582 by josmiceli(19441) $\"\"$ $\"About$

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Let point A = ( x1 , y1 )
\n" ); document.write( "Let point B = ( x2 , 6 )
\n" ); document.write( "The midpoint is ( 7,4 )
\n" ); document.write( "-----------------------
\n" ); document.write( "The x-value of the midpoint is:
\n" ); document.write( "(1) $\"+%28+x%5B1%5D+%2B+x%5B2%5D+%29+%2F+2+=+7+\"$
\n" ); document.write( "The y-value of the midpoint is:
\n" ); document.write( "(2) $\"+%28+y%5B1%5D+%2B+6+%29+%2F+2+=+4+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) $\"+y%5B1%5D+%2B+6+=+8+\"$
\n" ); document.write( "(2) $\"+y%5B1%5D+=+2+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "For point A, $\"+x%5B1%5D+=+y%5B1%5D+\"$ , so
\n" ); document.write( "(1) $\"+%28+2+%2B+x%5B2%5D+%29+%2F+2+=+7+\"$
\n" ); document.write( "(1) $\"+2+%2B+x%5B2%5D+=+14+\"$
\n" ); document.write( "(1) $\"+x%5B2%5D+=+12+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "A( 2, 2 ) and B( 12, 6 ) are the points
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+%28+2+%2B+12+%29+%2F+2+=+7+\"$
\n" ); document.write( "(1) $\"+14%2F2+=+7+\"$
\n" ); document.write( "(1) $\"+7+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+2+%2B+6+%29%2F2+=+4+\"$
\n" ); document.write( "(2) $\"+8%2F2+=+4+\"$
\n" ); document.write( "(2) $\"+4+=+4+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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