document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647530>Question 647530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line containing the point (3,5) and parallel to the line x+3y=9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406276 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to do point-slope form, we need a point and a slope. (Nice name right?)\r<BR>\n" );
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document.write( "We have a point, let's get ourselves a slope.\r<BR>\n" );
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document.write( "We are given a vital piece of information. Our line must be parallel to this one: x+3y=9. This means they must have the same slope. \r<BR>\n" );
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document.write( "If you're clever, you may know that of the form Ax+By=C, the slope is -A/B or -1/3. Otherwise, just solve for y=mx+b form and m is your slope. \r<BR>\n" );
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document.write( "3y = 9-x<BR>\n" );
document.write( "y = 9/3 - x/3<BR>\n" );
document.write( "y = 3 - (1/3)x\r<BR>\n" );
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document.write( "And as we predicted, our slope is -1/3.\r<BR>\n" );
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document.write( "Now we have a point and a slope.<BR>\n" );
document.write( "m=-1/3<BR>\n" );
document.write( "(x1,y1) = (3,5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-y1%29+=+m%2A%28x-x1%29 ALIGN=MIDDLE  ALT=\"%28y-y1%29+=+m%2A%28x-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-5%29+=+%28-1%2F3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%28y-5%29+=+%28-1%2F3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5+=+%28-1%2F3%29%2Ax+%2B+1 ALIGN=MIDDLE  ALT=\"y-5+=+%28-1%2F3%29%2Ax+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%28-1%2F3%29x+%2B+6%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%28-1%2F3%29x+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this helps!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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