document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905667>Question 905667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the shortest distance from (2,1) to the line 3x+4y=24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549315 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=549315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine the line perpendicular to 3x+4y=24 and containing the point (2,1).  The two lines intersect<BR>\n" );
document.write( "at some point; and the distance between this point and (2,1) will be the distance which answers<BR>\n" );
document.write( "your question.\r<BR>\n" );
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document.write( "Form the line equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-3y=c ALIGN=MIDDLE  ALT=\"4x-3y=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=4%2A2-3%2A1 ALIGN=MIDDLE  ALT=\"c=4%2A2-3%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=8-3 ALIGN=MIDDLE  ALT=\"c=8-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=5 ALIGN=MIDDLE  ALT=\"c=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284x-3y=5%29 ALIGN=MIDDLE  ALT=\"highlight_green%284x-3y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the perpendicular line found.<BR>\n" );
document.write( "Keep the equation in this form for ease in some use of Elimination Method.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2B4y=24%2C4x-3y=5%29 ALIGN=MIDDLE  ALT=\"system%283x%2B4y=24%2C4x-3y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2812x%2B16y=96%2C12x-9y=15%29 ALIGN=MIDDLE  ALT=\"system%2812x%2B16y=96%2C12x-9y=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16y-%28-9y%29=96-15 ALIGN=MIDDLE  ALT=\"16y-%28-9y%29=96-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y=81 ALIGN=MIDDLE  ALT=\"25y=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=81%2F25%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=81%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x%2B4y=24%2C4x-3y=5%29 ALIGN=MIDDLE  ALT=\"system%283x%2B4y=24%2C4x-3y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%289x%2B12y=72%2C16x-12y=20%29 ALIGN=MIDDLE  ALT=\"system%289x%2B12y=72%2C16x-12y=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x=92 ALIGN=MIDDLE  ALT=\"25x=92\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=92%2F25%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=92%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Intersection point on 3x+4y=24 is  (92/25,81/25).\r<BR>\n" );
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document.write( "Distance Asked :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2892%2F25-2%29%5E2%2B%2881%2F25-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2892%2F25-2%29%5E2%2B%2881%2F25-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2892%2F25-50%2F25%29%5E2%2B%2881%2F25-25%2F25%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2892%2F25-50%2F25%29%5E2%2B%2881%2F25-25%2F25%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2842%2F25%29%5E2%2B%2856%2F25%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2842%2F25%29%5E2%2B%2856%2F25%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%281%2F25%5E2%29%2842%5E2%2B56%5E2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%281%2F25%5E2%29%2842%5E2%2B56%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F25%29sqrt%2842%5E2%2B56%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F25%29sqrt%2842%5E2%2B56%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F25%29sqrt%281764%2B3136%29 ALIGN=MIDDLE  ALT=\"%281%2F25%29sqrt%281764%2B3136%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F25%29sqrt%284900%29 ALIGN=MIDDLE  ALT=\"%281%2F25%29sqrt%284900%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F25%29%2A7%2A10 ALIGN=MIDDLE  ALT=\"%281%2F25%29%2A7%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F25=%287%2A2%2A5%29%2F%285%2A5%29 ALIGN=MIDDLE  ALT=\"70%2F25=%287%2A2%2A5%29%2F%285%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2814%2F5=2%264%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%2814%2F5=2%264%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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