document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225755>Question 225755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i find the distance between these two pair of parallel of lines using only this:<BR>\n" );
document.write( "         y = 2x + 2<BR>\n" );
document.write( "         y = 2x - 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168338 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=168338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do i find the distance between these two pair of parallel of lines using only this:<BR>\n" );
document.write( "         y = 2x + 2<BR>\n" );
document.write( "         y = 2x - 3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "A = angle of lines with x-axis = arctan(m) = arctan(2)<BR>\n" );
document.write( "A = angle of line perpendicular with y-axis<BR>\n" );
document.write( "distance between y-intercepts = 5<BR>\n" );
document.write( "d = 5*cos(arctan(2))<BR>\n" );
document.write( "d = ~2.236 = sqrt(5)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "line perpendicular thru (0,2):<BR>\n" );
document.write( "m = -1/2<BR>\n" );
document.write( "2 = (-1/2)*0 + b<BR>\n" );
document.write( "y = -x/2 + 2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "y = 2x - 3<BR>\n" );
document.write( "Solve for intersection<BR>\n" );
document.write( "-x/2 + 2 = 2x - 3<BR>\n" );
document.write( "-x+4 = 4x-6<BR>\n" );
document.write( "5x = 10<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "y = 1 --> (2,1)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "distance from (0,2) to (2,1)<BR>\n" );
document.write( "s = sqrt(4 + 1)<BR>\n" );
document.write( "s = sqrt(5)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The distance between parallel lines is the distance between y-intercepts times the cosine of the arctan of the slope.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );