document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033772>Question 1033772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line parallel to 3x+4y=7 intersect the positive x axis and positive y axis so that the triangle formed by the line and these axes has an area of 6.\r<BR>\n" );
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document.write( "Thank you in advanced! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649048 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line would have to have the form 3x+4y = k for some undetermined constant k > 0, as wanted.<BR>\n" );
document.write( "The x-intercept of this line is k/3, while its y-intercept is k/4.\r<BR>\n" );
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document.write( "The area is thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+%281%2F2%29%28k%2F4%29%28k%2F3%29+=+k%5E2%2F24 ALIGN=MIDDLE  ALT=\"6+=+%281%2F2%29%28k%2F4%29%28k%2F3%29+=+k%5E2%2F24\"   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=k%5E2+=+144 ALIGN=MIDDLE  ALT=\"k%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> k = 12.\r<BR>\n" );
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document.write( "Therefore the equation of the line is 3x+4y=12.<BR>\n" );
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