document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729602>Question 729602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a? <BR>\n" );
document.write( "2) determine the value of k for which the system of linear equations has no solution <BR>\n" );
document.write( "2x-y=3<BR>\n" );
document.write( "4x+ky=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446046 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=446046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2,a) and (5,-3)\r<BR>\n" );
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document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+%28-3-a%29%2F%285-2%29 ALIGN=MIDDLE  ALT=\"m=+%28-3-a%29%2F%285-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=(-3-a)/2\r<BR>\n" );
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document.write( " is parallel to the line passing through the points \r<BR>\n" );
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document.write( "(4,8) and (-5,a+1)\r<BR>\n" );
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document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+%28a%2B1-8%29%2F%28-5-4%29 ALIGN=MIDDLE  ALT=\"m=+%28a%2B1-8%29%2F%28-5-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-7%29%2F-9 ALIGN=MIDDLE  ALT=\"%28a-7%29%2F-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the lines are parallel so the slopes are equal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3-a%29%2F2++=+%28a-7%29%2F-9 ALIGN=MIDDLE  ALT=\"%28-3-a%29%2F2++=+%28a-7%29%2F-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-9(-3-a)=2(a-7)\r<BR>\n" );
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document.write( "27+9a=2a-14\r<BR>\n" );
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document.write( "7a=-41\r<BR>\n" );
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document.write( "a=-41/7 </SPAN>\n" );
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