document.write( "Question 942849: the points A(3,2) and B(2,-3) are equidistant from a point P(x,y). find the relation beween x and y. \n" ); document.write( "

Algebra.Com's Answer #574846 by josgarithmetic(39617) $\"\"$ $\"About$

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Perpendicular Bisector of AB.\r
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\n" ); document.write( "\n" ); document.write( "Slope for AB is $\"%282-%28-3%29%29%2F%283-2%29=5\"$ . The line perpendicular to AB must have slope $\"-1%2F5\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Midpoint of AB is
\n" ); document.write( " $\"x=%283%2B2%29%2F2=5%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y=%282%2B%28-3%29%29%2F2=-1%2F2\"$ .
\n" ); document.write( "As ordered pair of coordinates, this midpoint is (5/2,-1/2).\r
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\n" ); document.write( "\n" ); document.write( "The line for any point P will be $\"highlight_green%28y-%28-1%2F2%29=%28-1%2F5%29%28x-5%2F2%29%29\"$ using POINT-SLOPE form for equation of a line. Simplify and put into whatever form you want. \n" ); document.write( "

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