document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639450>Question 639450</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Find the exact directed distance from the line 3x-4y=12 to the point (-2,-1).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402744 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Do it like this one:<BR>\n" );
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document.write( " Find the exact directed distance from the line 4x+3y=5 to the point (2,-5). <BR>\n" );
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document.write( "It's the distance from the point perpendicular to the line.<BR>\n" );
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document.write( "Find the slope of the line<BR>\n" );
document.write( "4x+3y=5<BR>\n" );
document.write( "y = (-4/3)x + 5/3<BR>\n" );
document.write( "Slope m = -4/3<BR>\n" );
document.write( "The slope of lines perpendicular is the negative inverse = 3/4<BR>\n" );
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document.write( "Find the eqn of the perpendicular line thru the point<BR>\n" );
document.write( "Use y = mx + b and the point to find b<BR>\n" );
document.write( "-5 = (3/4)*2 + b<BR>\n" );
document.write( "b = -13/2<BR>\n" );
document.write( "--> y = (3/4)x - 7/2 thru the point perpendicular to the given line<BR>\n" );
document.write( "Find the intersection of the 2 lines by solving for x & y of the system<BR>\n" );
document.write( "y = (3/4)x - 13/2<BR>\n" );
document.write( "y = (-4/3)x + 5/3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(-4/3)x + 5/3 = (3/4)x - 13/2<BR>\n" );
document.write( "-16x + 20 = 9x - 78<BR>\n" );
document.write( "x = 98/25<BR>\n" );
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document.write( "y = -89/25<BR>\n" );
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document.write( "Get the distance between the 2 points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+diffy%5E2+-+diffx%5E2+=+%2836%2F25%29%5E2+%2B+%2848%2F25%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+diffy%5E2+-+diffx%5E2+=+%2836%2F25%29%5E2+%2B+%2848%2F25%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+3600%2F625%29 ALIGN=MIDDLE  ALT=\"d%5E2+=+3600%2F625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 12/5 = 2.4 units\r<BR>\n" );
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document.write( " </SPAN>\n" );
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