document.write( "Question 995717: two schools are located at points P (-1,4) Q (7, -2) on a town map. the school board is planning a new sports complex to be used by both schools. the board wants to find a location equidistant from the 2 schools. Use an equation to represent the possible locations for the sports complex? \n" ); document.write( "
Algebra.Com's Answer #614390 by stanbon(75887)\"\" \"About 
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two schools are located at points P (-1,4) Q (7, -2) on a town map. the school board is planning a new sports complex to be used by both schools. the board wants to find a location equidistant from the 2 schools. Use an equation to represent the possible locations for the sports complex?
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\n" ); document.write( "Comment:: Find the equation of the perpendicular bisector (PB) of line PQ.
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\n" ); document.write( "slope of PQ = (-2-4)/(7--1) = -6/8 = -3/4
\n" ); document.write( "slope of perpendicular bisector: 4/3
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\n" ); document.write( "mid-point of PQ:: [(-1+7)/2 , (4-2)/2] = (3,1)
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\n" ); document.write( "Form of PB :: y = mx + b
\n" ); document.write( "Solve for \"b\"::
\n" ); document.write( "1 = (4/3)3+b
\n" ); document.write( "b = -3
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\n" ); document.write( "Ans: y = (4/3)x - 3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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