document.write( "Question 1004800: Find the two trisection points of the line segment joining A(-3,-4) and B (6,11) \n" ); document.write( "
Algebra.Com's Answer #621161 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First find the x-coordinate of the point 1/3
\n" ); document.write( "of the way from A to B
\n" ); document.write( "-------------------
\n" ); document.write( "Take the difference:
\n" ); document.write( "\"+x%5BB%5D+-+x%5BA%5D+=+6+-%28-3%29+\"
\n" ); document.write( "\"+x%5BB%5D+-+x%5BA%5D+=+9+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Take 1/3 of this:
\n" ); document.write( "\"+9%2F3+=+3+\"
\n" ); document.write( "------------
\n" ); document.write( "Add this to \"+x%5BA%5D+\"
\n" ); document.write( "\"+-3+%2B+3+=+0+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Find the y-coordinate of the point 1/3
\n" ); document.write( "of the way from A to B
\n" ); document.write( "---------------------
\n" ); document.write( "Take the difference:
\n" ); document.write( "\"+y%5BB%5D+-+y%5BA%5D+=+11+-%28-4%29+\"
\n" ); document.write( "\"+y%5BB%5D+-+y%5BA%5D+=+15+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Take 1/3 of this:
\n" ); document.write( "\"+15%2F3+=+5+\"
\n" ); document.write( "--------------
\n" ); document.write( "Add this to \"+y%5BA%5D+\"
\n" ); document.write( "\"+-4+%2B+5+=+1+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The point 1/3
\n" ); document.write( "of the way from A to B is: ( 0,1 )
\n" ); document.write( "---------------------------
\n" ); document.write( "Now you can use the fact that the 2/3 point
\n" ); document.write( "is midway between this point and B
\n" ); document.write( "x-coordinate:
\n" ); document.write( "\"+%28+6%2B0+%29+%2F+2+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "y-coordinate:
\n" ); document.write( "\"+%28+11+%2B+1+%29+%2F+2+=+6+\"
\n" ); document.write( "--------------------
\n" ); document.write( "The points are:
\n" ); document.write( "( 0,1 ) and ( 3,6 )
\n" ); document.write( "You can draw this to check
\n" ); document.write( "
\n" );