document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109989>Question 109989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y = 3x<BR>\n" );
document.write( "y = 3x + 10<BR>\n" );
document.write( "i need to find the distance between the parallel lines </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80130 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distance is the length of a perpendicular line drawn between the parallel lines\r<BR>\n" );
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document.write( "perpendicular means the slope will be -1/3 (negative reciprocal of 3)<BR>\n" );
document.write( "... 10 is the y-intercept of the upper line, so the perpendicular will match it<BR>\n" );
document.write( "... the perpendicular intersects the top line at (0,10)\r<BR>\n" );
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document.write( "the intersection with the bottom line is when 3x=(-1/3)x+10 ... or x=3 ... so the intersection is (3,9)\r<BR>\n" );
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document.write( "the distance is between the two intersections ... d^2=(3-0)^2+(9-10)^2 </SPAN>\n" );
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