document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51603>Question 51603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the line passing through the points (4,0) and (4,5).  Is it undefined, m=0, m=1 or m=5?  Please help, thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34404 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=34404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope m of a line is defined as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where (x1,y1) and (x2,y2) are two points on the line.  Now we substitute the points (4,0) and (4,5) into the equation -- note it doesn't matter which ordered pair is 1 or 2, as long as you're consistent.  The equation becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%285-0%29%2F%284-4%29 ALIGN=MIDDLE  ALT=\"m=%285-0%29%2F%284-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=5%2F0 ALIGN=MIDDLE  ALT=\"m=5%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Because division by zero is undefined, our slope is undefined.  By definition, an undefined slope means a vertical line; a slope of 0 means a horizontal line. </SPAN>\n" );
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