document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85100>Question 85100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi, how would I be able to find an equation of the line through the point (-2/3, 1)with undefined slope? What process will I use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61322 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=61322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The undefined slope is the clue.  It tells you that the graph is a vertical line. Why so?<BR>\n" );
document.write( "Because the slope will always have a real value as long as there is a change in x. Recall<BR>\n" );
document.write( "that the slope is defined as:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Slope+=+%28rise%29%2F%28run%29+=+%28vertical+change%29%2F%28horizontal+change%29 ALIGN=MIDDLE  ALT=\"Slope+=+%28rise%29%2F%28run%29+=+%28vertical+change%29%2F%28horizontal+change%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "But if the run (horizontal change or change in x) is zero, the slope is undefined <BR>\n" );
document.write( "because in algebra division by zero is not allowed.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore, we know the horizontal change in the graph is zero.  So the graph shows that no<BR>\n" );
document.write( "matter what the value of y is, x always has to be the same because it cannot change.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now the question is where would the vertical line be.  Well, since it has to go up through<BR>\n" );
document.write( "the y value of 1, it must have the x value that corresponds to the y value of 1.  The problem<BR>\n" );
document.write( "tells you that the x corresponding x value is -2/3. <BR>\n" );
document.write( ".<BR>\n" );
document.write( "So the graph you are looking for is a vertical line that goes through -2/3 on the x axis<BR>\n" );
document.write( "and therefore, it goes through 1 in the y direction as well as lots of other y values in<BR>\n" );
document.write( "both the positive and negative direction. The equation for this line is x = -2/3.<BR>\n" );
document.write( "There is no y in the equation at all because y can be any value, but x always has to<BR>\n" );
document.write( "be -2/3 so that the line will go up through the value of y = 1.<BR>\n" );
document.write( ". <BR>\n" );
document.write( "Hope this helps you to understand the problem and its answer a little better.<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );