document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816643>Question 816643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491795 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please can you help solve this problem for me. The point (x,y) is equidistant from (4,-1) and (-2,3). Express the answer in algebraic equation<BR>\n" );
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document.write( "There are an infinite # of points.  It's the perpendicular bisector thru (1,1)<BR>\n" );
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document.write( "Find the slope of the line thru the given points.<BR>\n" );
document.write( "m = diffy/diffx = 4/-6 = -2/3<BR>\n" );
document.write( "The slope of lines perpendicular is the negative inverse, 3/2<BR>\n" );
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document.write( "Find an equation of the line thru (1,1) with a slope of 3/2<BR>\n" );
document.write( "Use y = mx+b and the point to find b<BR>\n" );
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document.write( "1 = (3/2)*1 + b<BR>\n" );
document.write( "b = -1/2<BR>\n" );
document.write( "--> y = 3x/2 - 1/2 </SPAN>\n" );
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