document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932465>Question 932465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the shortest distance between 2 parallel lines given 2x+y-2=0 and 2x+y-3=0 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566164 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In slope intercept form, the equations are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B2 ALIGN=MIDDLE  ALT=\"y=-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The line perpendicular to these two lines would have the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > since perpendicular lines have slopes that are negative reciprocals.<BR>\n" );
document.write( "The slope also equals the tangent of the angle the line makes with the x-axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-3%2C3%2C-3%2C3%2Cgrid%281%29%2Cgraph%28300%2C300%2C-3%2C3%2C-3%2C3%2C-2x%2B2%2C-2x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now you have a right triangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C2%2C-1%2C2%2Cgrid%281%29%2Cblue%28line%281%2C0%2C1%2C1%29%29%2Clocate%281.2%2C-.1%2C1%2F2%29%2Clocate%281.15%2C0.28%2Cd%29%2Clocate%281.15%2C0.15%2Ca%29%2Cblue%28line%281%2C1%2C3%2F2%2C0%29%29%2Cgraph%28300%2C300%2C-1%2C2%2C-1%2C2%2C%281%2F2%29%28x-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You know that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28a%29=1%2F2 ALIGN=MIDDLE  ALT=\"tan%28a%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the diagram,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29=d%2F%281%2F2%29 ALIGN=MIDDLE  ALT=\"cos%28a%29=d%2F%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%29=2d ALIGN=MIDDLE  ALT=\"cos%28a%29=2d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=tan%28a%29%2Acos%28a%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=tan%28a%29%2Acos%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=%281%2F2%29%282d%29 ALIGN=MIDDLE  ALT=\"sin%28a%29=%281%2F2%29%282d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29=d ALIGN=MIDDLE  ALT=\"sin%28a%29=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And you know,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28a%29%5E2%2Bcos%28a%29%5E2=1 ALIGN=MIDDLE  ALT=\"sin%28a%29%5E2%2Bcos%28a%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2%2B4d%5E2=1 ALIGN=MIDDLE  ALT=\"d%5E2%2B4d%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d%5E2=1 ALIGN=MIDDLE  ALT=\"5d%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=1%2F5 ALIGN=MIDDLE  ALT=\"d%5E2=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=1%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"d=1%2Fsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=sqrt%285%29%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28d=sqrt%285%29%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );