document.write( "Question 548633: The question is write an equation for the perpendicular bisector of the line segment joining the two points? the points are(-2, 2) and (5, 4) \n" ); document.write( "

Algebra.Com's Answer #357119 by mananth(16946) $\"\"$ $\"About$

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mid point formula\r
\n" ); document.write( "\n" ); document.write( "(5-2)/2
\n" ); document.write( "3/2\r
\n" ); document.write( "\n" ); document.write( "(4+2)/2=3\r
\n" ); document.write( "\n" ); document.write( "(3/2,3)\r
\n" ); document.write( "\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "-2 2 5 4
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( 4 - 2 )/( 5 - -2 )
\n" ); document.write( "( 2 / 7 )
\n" ); document.write( "m= 2/ 7 \r
\n" ); document.write( "\n" ); document.write( "The perpendicular will have slope of (-7/2) passes through (3/2,3)\r
\n" ); document.write( "\n" ); document.write( "m= -7/ 2
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\n" ); document.write( "Plug value of the slope and point ( 3/ 2 , 3 ) in
\n" ); document.write( "Y = m x + b
\n" ); document.write( "3.00 = -21/4 + b
\n" ); document.write( "b= 3 - -21/4
\n" ); document.write( "b= 33/ 4
\n" ); document.write( "So the equation will be
\n" ); document.write( "Y = -7/2 x + 33/4
\n" ); document.write( "m.ananth@hotmail.ca \r
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