document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114323>Question 1114323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A commetee is choosing a site for a community centre.  The centre need to be located the same distance from the two main towns in the country. On a map , these towns have coordinates (2,14) and (16,4). Determine an equation for the line that shows all possible sites for the community centre) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802533 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=802533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We want to find the perpendicular bisector of the line that connects the towns.\r<BR>\n" );
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document.write( "(2, 14) and (16, 4)\r<BR>\n" );
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document.write( "slope = (4 - 14)/(16 - 2) = -10/14 = -5/7\r<BR>\n" );
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document.write( "midpoint = (2 + 16, 14 + 4) = (9, 9)\r<BR>\n" );
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document.write( "Perpendicular bisector:\r<BR>\n" );
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document.write( "slope = 7/5, passes through (9, 9)\r<BR>\n" );
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document.write( "y - 9 = 7/5 * (x - 9)<BR>\n" );
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