document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176819>Question 176819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a struggle in determining the slope on a graph and therefore, cannot graph parallel lines.\r<BR>\n" );
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document.write( "Can you offer some helpful hints?\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "kelloggdmk </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131891 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope on a graph has exactly the same definition as<BR>\n" );
document.write( "the slope of a roof. It is rise over run. For the slope of<BR>\n" );
document.write( "a roof, you measure how high the roof is and divide by <BR>\n" );
document.write( "the distance from the peak to the eaves, or the gutter<BR>\n" );
document.write( "On a graph, the formula for this is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"%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( "where the given points are (x1,y1) and (x2,y2)<BR>\n" );
document.write( "If the equation of the line is in this form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >= slope<BR>\n" );
document.write( "For instance,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29%2Ax+%2B+17 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29%2Ax+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any line parallel to this one will also<BR>\n" );
document.write( "have a slope  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And to measure this slope, you would start at some point on<BR>\n" );
document.write( "the line, say (0,17) which is the y-intercept, go up<BR>\n" );
document.write( "2 units and see how far you went horizontally. It <BR>\n" );
document.write( "should be 3 units. That's the rise over run as in a<BR>\n" );
document.write( "roof.  </SPAN>\n" );
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