document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967413>Question 967413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this. Find the equation of the line parallel to the line 4x+3y=24 at a distance 2 units from the origin. (note: there are two possible answers). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591278 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=591278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the line which contains (0,0) and has slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-0=%283%2F4%29%28x-0%29 ALIGN=MIDDLE  ALT=\"y-0=%283%2F4%29%28x-0%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=%283%2F4%29x ALIGN=MIDDLE  ALT=\"y=%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The general point (x,(3/4)x ).\r<BR>\n" );
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document.write( "You want to find the point on that line which is 2 units from (0,0).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-0%29%5E2%2B%28%283%2F4%29x-0%29%5E2%29=2 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-0%29%5E2%2B%28%283%2F4%29x-0%29%5E2%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B9x%5E2%2F4%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B9x%5E2%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%281%2B9%2F4%29=2 ALIGN=MIDDLE  ALT=\"x%2Asqrt%281%2B9%2F4%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%2813%2F4%29=2 ALIGN=MIDDLE  ALT=\"x%2Asqrt%2813%2F4%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F2%29sqrt%2813%29=2 ALIGN=MIDDLE  ALT=\"%28x%2F2%29sqrt%2813%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2Fsqrt%2813%29 ALIGN=MIDDLE  ALT=\"x=4%2Fsqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Corresponding y value is (3/4)(4/sqrt(13))<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2Fsqrt%2813%29 ALIGN=MIDDLE  ALT=\"y=3%2Fsqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That will be part of one possible answer.\r<BR>\n" );
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document.write( "You are looking for a line  with that point just found with the equation member of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3y ALIGN=MIDDLE  ALT=\"4x%2B3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > because you are looking for the line PARALLEL to the given line. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284x%2B3y=4%28%284%2Fsqrt%2813%29%29%29%2B3%28%283%2Fsqrt%2813%29%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%284x%2B3y=4%28%284%2Fsqrt%2813%29%29%29%2B3%28%283%2Fsqrt%2813%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That needs to be simplified in order to be completely finished. </SPAN>\n" );
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