document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855178>Question 855178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B are the point (3,-1) and (2,3) respectively. l is the line 8y - 2x - 3 = 0 show that l passes through the midpoint of AB. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515139 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3,-1) and (2,3)\r<BR>\n" );
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document.write( "The mid point will be (3+2)/2 = (5/2)\r<BR>\n" );
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document.write( "(-1+3)/2 = 2/2 = 1\r<BR>\n" );
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document.write( "The co-ordinates of mid point are ( (5/2),1 )\r<BR>\n" );
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document.write( "If this lies on the line 8y - 2x - 3=0\r<BR>\n" );
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document.write( "It must satisfy the equation\r<BR>\n" );
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document.write( "Plug the co ordinates of the mid point\r<BR>\n" );
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document.write( "8*1 -2*(5/2)-3 =0\r<BR>\n" );
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document.write( "LHS = RHS<BR>\n" );
document.write( "so the midpoint lies on the line\r<BR>\n" );
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