document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179513>Question 1179513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).  \r<BR>\n" );
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document.write( "Find the equation of the perpendicular bisector of the side QR.  \r<BR>\n" );
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document.write( "Find the slope of the median of the triangle that passes through point R.  <BR>\n" );
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document.write( "Find the slope of the altitude of the triangle that passes through point Q.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853629 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).<BR>\n" );
document.write( "Find the equation of the perpendicular bisector of the side QR.\r<BR>\n" );
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document.write( "Find the slope of the median of the triangle that passes through point R.\r<BR>\n" );
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document.write( "Find the slope of the altitude of the triangle that passes through point Q.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @mananth in his post is incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is easy to see, if to substitute coordinates of point P(-6,1) into \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;his final equation &nbsp;y = -5/3x - 11.  &nbsp;You will get then &nbsp;y = -1 &nbsp;instead of &nbsp;y = 1.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His error is in arithmetic error on the way.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Below is my correct solution.\r<BR>\n" );
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document.write( "The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).\r<BR>\n" );
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document.write( "Find the equation of the perpendicular bisector of the side QR.\r<BR>\n" );
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document.write( "slope formula\r<BR>\n" );
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document.write( "(y2-y1)/(x2-x1) Q(-2,-5) and R(8,1).\r<BR>\n" );
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document.write( "slope of QR = (1-(-5))/(8-(-2)) = 3/5\r<BR>\n" );
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document.write( "T a perpendicular line will have a slope -5/3 (negative reciprocal)\r<BR>\n" );
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document.write( "slope = -5/3 and passing through P (-6,-1)\r<BR>\n" );
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document.write( "Plug value of the slope and point (-6 ,-1 ) in\r<BR>\n" );
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document.write( "Y = m*x + b\r<BR>\n" );
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document.write( "1 = 10 + b\r<BR>\n" );
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document.write( "b =  1 - 10\r<BR>\n" );
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document.write( "b = -9\r<BR>\n" );
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document.write( "So the equation is\r<BR>\n" );
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document.write( "Y = -5/3*x -9   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>\r<BR>\n" );
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document.write( "Solved correctly and accurately.\r<BR>\n" );
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