document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960152>Question 960152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (reasoning) consider the equation Ax+By=C<BR>\n" );
document.write( "a. what must be true of the equation if its graph is a vertical line?<BR>\n" );
document.write( "b. what must be true of the equation if its graph is a horizontal line?\r<BR>\n" );
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document.write( "please help me! i have no clue what they want me to do. i don't know where to start. this problem makes absolutely no sense to me. Can you help me understand? (step by step) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586794 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=586794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When they say \" the graph is a vertical line\" that<BR>\n" );
document.write( "is the same as saying the slope is infinite<BR>\n" );
document.write( "Slope = [ change in y ] / change in x ]<BR>\n" );
document.write( "If there is zero change in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "slope = [ delta y ] / 0<BR>\n" );
document.write( "slope = infinity<BR>\n" );
document.write( "The equation becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+k+ ALIGN=MIDDLE  ALT=\"+x+=+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be anything, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is whatever<BR>\n" );
document.write( "value you pick for it ( whatever <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+ ALIGN=MIDDLE  ALT=\"+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "Suppose I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+7+ ALIGN=MIDDLE  ALT=\"+x+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%28A%2FB%29%2Ax+%2B+C+ ALIGN=MIDDLE  ALT=\"+y+=+-%28A%2FB%29%2Ax+%2B+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%28A%2FB%29%2A7+%2B+C+ ALIGN=MIDDLE  ALT=\"+y+=+-%28A%2FB%29%2A7+%2B+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B+ ALIGN=MIDDLE  ALT=\"+B+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches zero, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be determined<BR>\n" );
document.write( "Note that this vertical line is NOT a function.<BR>\n" );
document.write( "A function must have a unique <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > for<BR>\n" );
document.write( "any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > that you choose.<BR>\n" );
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document.write( "A horizontal line means slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+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+=+-%28A%2FB%29%2Ax+%2B+C+ ALIGN=MIDDLE  ALT=\"+y+=+-%28A%2FB%29%2Ax+%2B+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%28A%2FB%29+=+0+ ALIGN=MIDDLE  ALT=\"+-%28A%2FB%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+C+ ALIGN=MIDDLE  ALT=\"+y+=+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is the equation<BR>\n" );
document.write( "You can't pick any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the equation already says<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+C+ ALIGN=MIDDLE  ALT=\"+y+=+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This line is a function, since any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > chosen<BR>\n" );
document.write( "gives me a unique <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( It's always the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "but I don't get MORE than one <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps<BR>\n" );
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document.write( "  </SPAN>\n" );
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