document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183192>Question 183192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the perpendicular bisector of the line between the points (2,2) and (6,6)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137549 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=137549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the perpendicular bisector of the line between the points (2,2) and (6,6)?<BR>\n" );
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document.write( "Find the point. The easiest way (always use the easiest) is to average x and y separately<BR>\n" );
document.write( "(2+6)/2 = 4 (x and y in this case)<BR>\n" );
document.write( "The mid-point is (4,4)<BR>\n" );
document.write( "Now find the slope, m<BR>\n" );
document.write( "m = diffy/diffx<BR>\n" );
document.write( "m = (6-2)/(6-2)<BR>\n" );
document.write( "m = 1<BR>\n" );
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document.write( "The slope of lines perpendicular (there are an infinite number of them) have a slope that's the negative inverse.<BR>\n" );
document.write( "m2 = -1<BR>\n" );
document.write( "Then use<BR>\n" );
document.write( "y-y1 = m2*(x-x1) where (x1,y1) is (4,4)<BR>\n" );
document.write( "y-4 = -1(x-4)<BR>\n" );
document.write( "y-4 = -x+4<BR>\n" );
document.write( "x+y = 8<BR>\n" );
document.write( " </SPAN>\n" );
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