document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080154>Question 1080154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help with this.  Thanks for your help. \r<BR>\n" );
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document.write( "Create two ordered pairs so that the slope of the line between them is:<BR>\n" );
document.write( " <BR>\n" );
document.write( "positive, <BR>\n" );
document.write( "negative, <BR>\n" );
document.write( "zero, <BR>\n" );
document.write( "undefined. \r<BR>\n" );
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document.write( "Use both graph and the slope of the formula as proof.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694387 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=694387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Slope is change in y over change in x.<BR>\n" );
document.write( "So use (0,0) as the starting point.<BR>\n" );
document.write( "So then the slope is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y-0%29%2F%28x-0%29=y%2Fx ALIGN=MIDDLE  ALT=\"m=%28y-0%29%2F%28x-0%29=y%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assume x is 1 for simplicity.<BR>\n" );
document.write( "So then your point is (1,y) and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=y ALIGN=MIDDLE  ALT=\"m=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So for positive,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3E0 ALIGN=MIDDLE  ALT=\"m%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E0 ALIGN=MIDDLE  ALT=\"y%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Choose any positive y.<BR>\n" );
document.write( "And for negative,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3C0 ALIGN=MIDDLE  ALT=\"m%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C0 ALIGN=MIDDLE  ALT=\"y%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Choose any negative y,<BR>\n" );
document.write( "And for zero slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=0 ALIGN=MIDDLE  ALT=\"m=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your point would be (1,0).<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "For undefined slope, we go back to the definition of slope.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y-0%29%2F%28x-0%29 ALIGN=MIDDLE  ALT=\"m=%28y-0%29%2F%28x-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope is undefined if the denominator equals zero since division by zero is undefined,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-0=0 ALIGN=MIDDLE  ALT=\"x-0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the points are (0,y) where y is any number. <BR>\n" );
document.write( "This is a vertical line at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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