document.write( "Question 539556: what is the equation of the perpemndicular bisector of ab if a (-3,4) and b ( 7,-6) \n" ); document.write( "
Algebra.Com's Answer #353461 by mananth(16949)\"\" \"About 
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If the coordinates of A and B are ( x1, y1) and ( x2, y2) respectively, then the midpoint, M, of AB is given by the following formula
\n" ); document.write( "( -3 , 4 ) ( 7 , -6 )
\n" ); document.write( "M(x,y) = \"%28x1%2Bx2%29%2F2%09%09%09\" \"%09%28y1%2By2%29%2F2\"
\n" ); document.write( "x= ( -3 + 7 )/ 2 y= ( 4 -6 )/ 2
\n" ); document.write( "x= 2 ,y= -1
\n" ); document.write( "Midpoint (2,-1)
\n" ); document.write( "Slope of this line
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "-3 * 4 7 -6
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( -6 - 4 )/( 7 - -3 )
\n" ); document.write( "( -10 / 10 )
\n" ); document.write( "m= -1 \r
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\n" ); document.write( "\n" ); document.write( "The slope of line perpendicular to this line will be 1
\n" ); document.write( "and it passes through (2,-1)\r
\n" ); document.write( "\n" ); document.write( "m= 1
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\n" ); document.write( "Plug value of the slope and point ( 2 , -1 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "-1.00 = 2 + b
\n" ); document.write( "b= -1 - 2
\n" ); document.write( "b= -3
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = x -3
\n" ); document.write( "m.ananth@hotmail.ca
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