document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682834>Question 682834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line through the point (3,0) amd parallel to 2x-3y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423356 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any line that is parallel to 2x-3y=1 is the equation 2x-3y=C where C is any real number (but 1)\r<BR>\n" );
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document.write( "2x-3y=C\r<BR>\n" );
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document.write( "2(3)-3(0)=C ... Plug in (3,0) which is the point the parallel line goes through.\r<BR>\n" );
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document.write( "6-0=C\r<BR>\n" );
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document.write( "6=C\r<BR>\n" );
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document.write( "C = 6\r<BR>\n" );
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document.write( "So the equation of the parallel line in standard form is 2x - 3y = 6\r<BR>\n" );
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document.write( "If you want the equation in slope intercept form, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+3y+=+6 ALIGN=MIDDLE  ALT=\"2x+-+3y+=+6\"   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=-3y+=+-2x+%2B+6 ALIGN=MIDDLE  ALT=\"-3y+=+-2x+%2B+6\"   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+=+%28-2x%29%2F%28-3%29+%2B+6%2F%28-3%29 ALIGN=MIDDLE  ALT=\"y+=+%28-2x%29%2F%28-3%29+%2B+6%2F%28-3%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+=+expr%282%2F3%29x-2 ALIGN=MIDDLE  ALT=\"y+=+expr%282%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the equation of the parallel line in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+expr%282%2F3%29x-2 ALIGN=MIDDLE  ALT=\"y+=+expr%282%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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