document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144835>Question 144835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you explain why the line x = 4 is a vertical line. I need help.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Yolanda </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105523 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=105523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice how \"y\" is not present in the equation. So what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is saying is that x-coordinate <b>must</b> be equal to 4, but y-coordinate can be any number. This means that the equation generates the table\r<BR>\n" );
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document.write( "<th>x</th><th>y</th>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>-5</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>-4</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>-3</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>-2</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>-1</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>0</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>1</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>2</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>3</TD></tr>\r\n" );
document.write( "<tr><TD  align=center width=50>4</TD><TD  align=center width=50>4</TD></tr>\r\n" );
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document.write( "And if we plot these points, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%29%2C%0D%0Acircle%284%2C-5%2C0.08%29%2C%0D%0Acircle%284%2C-5%2C0.10%29%2C%0D%0Acircle%284%2C-4%2C0.08%29%2C%0D%0Acircle%284%2C-4%2C0.10%29%2C%0D%0Acircle%284%2C-3%2C0.08%29%2C%0D%0Acircle%284%2C-3%2C0.10%29%2C%0D%0Acircle%284%2C-2%2C0.08%29%2C%0D%0Acircle%284%2C-2%2C0.10%29%2C%0D%0Acircle%284%2C-1%2C0.08%29%2C%0D%0Acircle%284%2C-1%2C0.10%29%2C%0D%0Acircle%284%2C0%2C0.08%29%2C%0D%0Acircle%284%2C0%2C0.10%29%2C%0D%0Acircle%284%2C1%2C0.08%29%2C%0D%0Acircle%284%2C1%2C0.10%29%2C%0D%0Acircle%284%2C2%2C0.08%29%2C%0D%0Acircle%284%2C2%2C0.10%29%2C%0D%0Acircle%284%2C3%2C0.08%29%2C%0D%0Acircle%284%2C3%2C0.10%29%2C%0D%0Acircle%284%2C4%2C0.08%29%2C%0D%0Acircle%284%2C4%2C0.10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " So this results in a vertical line through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%29%2C%0D%0Ablue%28line%284%2C-20%2C4%2C20%29%29%2C%0D%0Acircle%284%2C-5%2C0.08%29%2C%0D%0Acircle%284%2C-5%2C0.10%29%2C%0D%0Acircle%284%2C-4%2C0.08%29%2C%0D%0Acircle%284%2C-4%2C0.10%29%2C%0D%0Acircle%284%2C-3%2C0.08%29%2C%0D%0Acircle%284%2C-3%2C0.10%29%2C%0D%0Acircle%284%2C-2%2C0.08%29%2C%0D%0Acircle%284%2C-2%2C0.10%29%2C%0D%0Acircle%284%2C-1%2C0.08%29%2C%0D%0Acircle%284%2C-1%2C0.10%29%2C%0D%0Acircle%284%2C0%2C0.08%29%2C%0D%0Acircle%284%2C0%2C0.10%29%2C%0D%0Acircle%284%2C1%2C0.08%29%2C%0D%0Acircle%284%2C1%2C0.10%29%2C%0D%0Acircle%284%2C2%2C0.08%29%2C%0D%0Acircle%284%2C2%2C0.10%29%2C%0D%0Acircle%284%2C3%2C0.08%29%2C%0D%0Acircle%284%2C3%2C0.10%29%2C%0D%0Acircle%284%2C4%2C0.08%29%2C%0D%0Acircle%284%2C4%2C0.10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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