document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450557>Question 450557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Find the distance from point (2, -3) to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=4 ALIGN=MIDDLE  ALT=\"3x-y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks :D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309984 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=309984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the distance from point (2, -3) to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=4 ALIGN=MIDDLE  ALT=\"3x-y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The distance from a point to a line can be an infinite # of values.<BR>\n" );
document.write( "To find the shortest distance:<BR>\n" );
document.write( "The slope of 3x-y = 4 is 3.<BR>\n" );
document.write( "Lines perpendicular will have a slope that's the negative inverse, m = -1/3.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Find the eqn of the line with a slope of -1/3 that passes thru (2,-3)<BR>\n" );
document.write( "Use y = mx + b<BR>\n" );
document.write( "-3 = (-1/3)*2 + b<BR>\n" );
document.write( "b = -7/3<BR>\n" );
document.write( "--> y = -x/3 - 7/3 is the eqn of the line thru (2,-3) perpendicular to the other line.<BR>\n" );
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document.write( "Find the intersection of the 2 lines<BR>\n" );
document.write( "3x - y = 4<BR>\n" );
document.write( "Sub for y<BR>\n" );
document.write( "3x - (-x/3 - 7/3) = 4<BR>\n" );
document.write( "10x/3 + 7/3 = 4<BR>\n" );
document.write( "10x + 7 = 12<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "y = -5/2<BR>\n" );
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document.write( "Find the distance from (2,-3) to (1/2,-5/2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%281%2F4+%2B+9%2F4%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%281%2F4+%2B+9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = sqrt(10)/2<BR>\n" );
document.write( "d =~ 1.5811<BR>\n" );
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