document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105681>Question 105681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem #1\r<BR>\n" );
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document.write( "Line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1). Find the slope of l.\r<BR>\n" );
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document.write( "Thanks for your help on this one. I am really lost. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76964 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=76964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Line l goes through (1,3).<BR>\n" );
document.write( "Line 1 is parallel to the line through (4,3) and (-3,1)<BR>\n" );
document.write( "Let's call that line 2.<BR>\n" );
document.write( "First, let's find the slope of line 2. <BR>\n" );
document.write( "Then, we'll find the equation for line 1. <BR>\n" );
document.write( "The slope of a line through two points is given by the formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In your case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m%5B2%5D=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=%281-3%29%2F%28-3-4%29 ALIGN=MIDDLE  ALT=\"m%5B2%5D=%281-3%29%2F%28-3-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=%28-2%29%2F%28-7%29 ALIGN=MIDDLE  ALT=\"m%5B2%5D=%28-2%29%2F%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=2%2F7 ALIGN=MIDDLE  ALT=\"m%5B2%5D=2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Parallel lines have the same slope. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D=2%2F7 ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D=2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope-intercept form of the line is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since line 1 goes through (1,3), we can use that information to solve. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=2%2F7%2A%281%29%2Bb ALIGN=MIDDLE  ALT=\"3=2%2F7%2A%281%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-2%2F7 ALIGN=MIDDLE  ALT=\"b=3-2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=21%2F7-2%2F7 ALIGN=MIDDLE  ALT=\"b=21%2F7-2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=19%2F7 ALIGN=MIDDLE  ALT=\"b=19%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F7%29x%2B19%2F7 ALIGN=MIDDLE  ALT=\"y=%282%2F7%29x%2B19%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's how it all looks graphically. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2C%0D%0A++blue%28circle%28+4%2C+3%2C+.15+%29%29%2C%0D%0A++red%28circle%28+1%2C+3%2C+.15+%29%29%2C%0D%0A++blue%28circle%28-3%2C+1%2C+.15+%29%29%2C%0D%0A++blue%28line%28+4%2C+3%2C+-3%2C+1+%29%29%2C%0D%0A++red%28line%28+-10%2C+-.14%2C+10%2C+5.57+%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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