document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83081>Question 83081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line through (0,9) that is parallel to the line 3x+5y=15? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59635 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given line equation is: \r<BR>\n" );
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document.write( "3x + 5y = 15 \r<BR>\n" );
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document.write( "Writing this eqn in the form of y = mx  + b, we get:  \r<BR>\n" );
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document.write( "5y = -3x + 15 \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%283%2F5%29x+%2B+%2815%2F5%29 ALIGN=MIDDLE  ALT=\"+y+=+-%283%2F5%29x+%2B+%2815%2F5%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=y+=+-%283%2F5%29x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+-%283%2F5%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "From the above equation, we can find that the slope is given by, m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F5%29 ALIGN=MIDDLE  ALT=\"%28-3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let the equation of the line parallel to the given line be in the form \r<BR>\n" );
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document.write( "y = mx + b.  It will have the same slope as that of the given line.  Also given that the point (0,9) passess through the given line.  Hence,\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F5%29 ALIGN=MIDDLE  ALT=\"%28-3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + b \r<BR>\n" );
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document.write( "9 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F5%29 ALIGN=MIDDLE  ALT=\"%28-3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(0) + b \r<BR>\n" );
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document.write( "==> b = 9 \r<BR>\n" );
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document.write( "Thus, the equation of the requied line is:  \r<BR>\n" );
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document.write( "y = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29 ALIGN=MIDDLE  ALT=\"%283%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 9 \r<BR>\n" );
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document.write( "Hence, the solution. \r<BR>\n" );
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document.write( "Happy Calculating!!! \r<BR>\n" );
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document.write( "Regards,\r<BR>\n" );
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document.write( " </SPAN>\n" );
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