document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005617>Question 1005617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the distance between the two lines. <BR>\n" );
document.write( "Line 1  y= 3/5x + 2 <BR>\n" );
document.write( "Line 2   Y= 3/5x - 1 <BR>\n" );
document.write( "Round to the nearest hundreth.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621792 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39629)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=621792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try to make use of the y-axis intercept of one of the equations.  Find a linear equation perpendicular to these two parallel lines.  Drawing the graphs on the three equations on the same coordinate system should give you a clearer idea of the strategy.\r<BR>\n" );
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document.write( "Does that help?\r<BR>\n" );
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document.write( "Here is a way to think through.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C3x%2F5%2B2%2C3x%2F5-1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C3x%2F5%2B2%2C3x%2F5-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The line perpendicular to both of these and passing through  (0,2) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2=-%285%2F3%29%28x-0%29 ALIGN=MIDDLE  ALT=\"y-2=-%285%2F3%29%28x-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which when put into slope intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; not surprising.  This line intersects your line 1 and line 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C3x%2F5%2B2%2C3x%2F5-1%2C-5x%2F3%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C3x%2F5%2B2%2C3x%2F5-1%2C-5x%2F3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What is the intersection point of line 2 and the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > perpendicular to it?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F3%29x%2B2=%283%2F5%29x-1 ALIGN=MIDDLE  ALT=\"-%285%2F3%29x%2B2=%283%2F5%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F3%29x-%283%2F5%29x=-1-2 ALIGN=MIDDLE  ALT=\"-%285%2F3%29x-%283%2F5%29x=-1-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%2B3%2F5%29x=3 ALIGN=MIDDLE  ALT=\"%285%2F3%2B3%2F5%29x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply bothsides by lcd of 15,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B9x=45 ALIGN=MIDDLE  ALT=\"25x%2B9x=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34x=45 ALIGN=MIDDLE  ALT=\"34x=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=45%2F34 ALIGN=MIDDLE  ALT=\"x=45%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now find y of the intersection<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F5%29x-1 ALIGN=MIDDLE  ALT=\"y=%283%2F5%29x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F5%29%2845%2F34%29-1 ALIGN=MIDDLE  ALT=\"y=%283%2F5%29%2845%2F34%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7%2F34 ALIGN=MIDDLE  ALT=\"y=-7%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The intersection of line 2 and the perpendicular is  ( 45/34, -7/34).\r<BR>\n" );
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document.write( "Now, what is the distance between  (0,2)  and  ( 45/34, -7/34 )?<BR>\n" );
document.write( "Use the Distance Formula. </SPAN>\n" );
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