document.write( "Question 539531: what is the equation of the perpendicular bisector of ab if a(12,-2) and b(20,-6) \n" ); document.write( "
Algebra.Com's Answer #353450 by mananth(16946)\"\" \"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( "( 12 , -2 ) ( 20 , -6 )
\n" ); document.write( "M(x,y) =\"%28x1%2Bx2%29%2F2%09\" \"%09%28y1%2By2%29%2F2\"
\n" ); document.write( "x= ( 12 + 20 )/ 2 y= ( -2 -6 )/ 2
\n" ); document.write( "x= 16 ,y= -4\r
\n" ); document.write( "\n" ); document.write( "The slope of this line
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "12 * -2 20 -6
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( -6 - -2 )/( 20 - 12 )
\n" ); document.write( "( -4 / 8 )
\n" ); document.write( "m= - 1/ 2 \r
\n" ); document.write( "\n" ); document.write( "The line perpendicular to this line will have a slope of 2 and passing through (16,-4)\r
\n" ); document.write( "\n" ); document.write( "m= 2
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\n" ); document.write( "Plug value of the slope and point ( 16 , -4 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "-4.00 = 32 + b
\n" ); document.write( "b= -4 - 32
\n" ); document.write( "b= -36
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = 2 x -36
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\n" ); document.write( "m.ananth@hotmail.ca
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