document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066041>Question 1066041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the distance between point (9,18) and the line 30x-15y=75 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681204 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=681204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the distance between point (9,18) and the line 30x-15y=75 <BR>\n" );
document.write( "Slope of given line:: m = 30/15 = 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Slope of perdicular line thru (9,18)<BR>\n" );
document.write( "m = -1/2<BR>\n" );
document.write( "Form:: y = mx+b<BR>\n" );
document.write( "18 = (-1/2)9 + b<BR>\n" );
document.write( "b = 22.5<BR>\n" );
document.write( "Equation:: y = (-1/2)x+22.5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Find intersection of the two lines::<BR>\n" );
document.write( "y = 2x -5<BR>\n" );
document.write( "y = (-1/2)x+22.5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2x-5 = (-1/2)x+22.5<BR>\n" );
document.write( "2.5x = 27.5<BR>\n" );
document.write( "x = 11<BR>\n" );
document.write( "y = 2x-5 = 22-5 = 17<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Distance from (9,18) to (11,17)<BR>\n" );
document.write( "d = sqrt[(11-5)^2+(18-17)^2] = sqrt[37]<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
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