document.write( "Question 1139062: Find the equation of straight line that passes through point L and M were L is the mid-point of the straight line joining A(-1, 6) to B(5,4) and M is the mid-point of the line joining C(-5, -1) to D(3, -1) \n" ); document.write( "
Algebra.Com's Answer #756848 by josmiceli(19441)\"\" \"About 
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A(-1,6)
\n" ); document.write( "B(5,4)
\n" ); document.write( "\"+L%5Bx%5D+=+%28-1%2B5%29%2F2%29%0D%0A%7B%7B%7B+L%5Bx%5D+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "\"+L%5By%5D+=+%286%2B4%29%2F2+\"
\n" ); document.write( "\"+L%5By%5D+=+5+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "C(-5,-1)
\n" ); document.write( "D(3,-1)
\n" ); document.write( "\"+M%5Bx%5D+=+%28-5%2B3%29%2F2+\"
\n" ); document.write( "\"+M%5Bx%5D+=+-1+\"
\n" ); document.write( "and
\n" ); document.write( "\"+M%5By%5D+=+%28-1%2B%28-1%29%29%2F2+\"
\n" ); document.write( "\"+M%5By%5D+=+-1+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "The midpoints are:
\n" ); document.write( "L( 2,5)
\n" ); document.write( "M(-1,-1)
\n" ); document.write( "Use general point-slope formula
\n" ); document.write( "\"+%28+5+-%28-1%29+%29+%2F+%28+2+-%28-1%29+%29+=+%28+y+-%28-1%29+%29+%2F+%28+x+-%28-1%29+%29+\"
\n" ); document.write( "\"+6%2F3+=+%28+y+%2B+1+%29+%2F+%28+x+%2B+1+%29+\"
\n" ); document.write( "\"+2+=+%28+y+%2B+1+%29+%2F+%28+x+%2B+1+%29+\"
\n" ); document.write( "\"+y+%2B+1+=+2%2A%28+x+%2B+1+%29+\"
\n" ); document.write( "\"+y+%2B+1+=+2x+%2B+2+\"
\n" ); document.write( "\"+y+=+2x+%2B+1+\" answer
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "A(-1,6)
\n" ); document.write( "B(5,4)
\n" ); document.write( "\"+%28+6+-+4+%29%2F%28+-1+-+5+%29+=+%28+y+-+4+%29+%2F+%28+x+-+5+%29+\"
\n" ); document.write( "\"+2%2F%28-6%29+=+%28y-4%29%2F%28x-5%29+\"
\n" ); document.write( "\"+-1%2F3+=+%28+y-4+%29%2F%28+x-5+%29+\"
\n" ); document.write( "\"+-%28+x-5+%29+=+3%2A%28+y+-+4+%29+\"
\n" ); document.write( "\"+-x+%2B+5+=+3y+-+12+\"
\n" ); document.write( "\"+3y+=+-x+%2B+17+\"
\n" ); document.write( "\"+y+=+%28-1%2F3%29%2Ax+%2B+17%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "C(-5,-1)
\n" ); document.write( "D(3,-1)
\n" ); document.write( "
\n" ); document.write( "\"+%28+-1+%2B1+%29+%2F+%28+-2+%29+=+%28+y+%2B+1+%29+%2F+%28+x+%2B+3+%29+\"
\n" ); document.write( "\"+%28+y+%2B+1+%29%2F%28+x+%2B+3+%29+=+0+\"
\n" ); document.write( "\"+y+%2B+1+=+0+\"
\n" ); document.write( "\"+y+=+-1+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Here is a plot of the 3 lines:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );