document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734984>Question 734984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two lines in a coordinate plane have no points of intersection. Which of these could be the equations of the lines?<BR>\n" );
document.write( "A. 4x+2y=6              C.4x+=6<BR>\n" );
document.write( "   10x+5y=7               5x-10y=6\r<BR>\n" );
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document.write( "B. 4x+2y=6              D. 5x+10y=6<BR>\n" );
document.write( "   10x+5y=15               5x-10y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852699 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53420)</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=852699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Two lines in a coordinate plane have no points of intersection. <BR>\n" );
document.write( "Which of these could be the equations of the lines?<BR>\n" );
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document.write( "A.  4x + 2y =  6   C. 4x +     = 6\r\n" );
document.write( "   10x + 5y =  7      5x - 10y = 6\r\n" );
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document.write( "B.  4x + 2y =  6   D. 5x + 10y = 6\r\n" );
document.write( "   10x + 5y = 15      5x - 10y = 6\r\n" );
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document.write( "(A)  The lines have the same slope, but different y-intercepts.\r\n" );
document.write( "     So, these lines are parallel and have no common points.\r\n" );
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document.write( "(B)  The lines have the same slope and the same y-intercepts.\r\n" );
document.write( "     So, these lines coincide.\r\n" );
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document.write( "(C)  System (C) is written incorrectly, so I will not discuss/consider it.\r\n" );
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document.write( "(D)  The lines have different slopes, so they intersect each other.\r\n" );
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document.write( "<A>ANSWER</U>.  As far as I can make a conclusion considering cases (A), (B), and (D), lines (A) have no intersection points.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Answer in the post by @lynnlo is incorrect.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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