document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976707>Question 976707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the pair of parallel lines, y = x-11 & y = x-7. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598265 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=598265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the pair of parallel lines, y = x-11 & y = x-7 (slope,m=1)<BR>\n" );
document.write( "equation of a line perpendicular to pair of given lines: y=-x (slope,m=-1)<BR>\n" );
document.write( "Point of intersection between perpendicular line and one of the parallel lines:<BR>\n" );
document.write( "-x=x-11<BR>\n" );
document.write( "2x=11<BR>\n" );
document.write( "x=11/2=5.5<BR>\n" );
document.write( "y=-5.5<BR>\n" );
document.write( "point of intersection: (5.5,-5.5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Point of intersection between perpendicular line and other parallel line:<BR>\n" );
document.write( "-x=x-7<BR>\n" );
document.write( "2x=7<BR>\n" );
document.write( "x=7/2=3.5<BR>\n" );
document.write( "y=-3.5<BR>\n" );
document.write( "point of intersection: (3.5,-3.5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Use distance formula to find the distance between the 2 points of intersection<BR>\n" );
document.write( "d=&#8730;(x1-x2)^+(y1-y2)^2)=&#8730;(5.5-3.5)^2+(-5.5-(-3.5))=&#8730;(4+4)=&#8730;8<BR>\n" );
document.write( "distance between the pair of parallel lines=&#8730;8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );