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 #59636 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to find the equation of a line, you must know two things:  <BR>\n" );
document.write( "     1) Slope<BR>\n" );
document.write( "     2) Y-intercept\r<BR>\n" );
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document.write( "In this problem, the slope must be found by writing the given equation in \"slope-intercept\" form.  That is, you must solve for y in terms of x.\r<BR>\n" );
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document.write( "3x+5y=15<BR>\n" );
document.write( "5y = -3x + 15\r<BR>\n" );
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document.write( "Divide both sides by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285y%29%2F5+=+%28-3x%29%2F5+%2B15%2F5 ALIGN=MIDDLE  ALT=\"%285y%29%2F5+=+%28-3x%29%2F5+%2B15%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%2F5%29x%2B3 ALIGN=MIDDLE  ALT=\"y+=+%28-3%2F5%29x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The slope of the given line is m=-3/5, so the slope of any line PARALLEL to this line is also m=-3/5.\r<BR>\n" );
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document.write( "Secondly, the given point (0,9) just happens to be the Y-intercept, so in the equation <BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "m=-3/5 and b=9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-3%2F5%29x%2B9+ ALIGN=MIDDLE  ALT=\"y=%28-3%2F5%29x%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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