document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945091>Question 945091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will what you say about the line always be true in that situation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576277 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a straight (endless) line (in a 2-dimensional x-y space) has no y-intercept,<BR>\n" );
document.write( "a math teacher would call it a \"vertical line\",<BR>\n" );
document.write( "meaning that it is parallel to the y-axis.\r<BR>\n" );
document.write( "\n" );
document.write( "If a straight line (in a 2-dimensional x-y space) has no x-intercept,<BR>\n" );
document.write( "a math teacher would call it a \"horizontal line\",<BR>\n" );
document.write( "meaning that it is parallel to the x-axis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C9%2C-1%2C9%2Cgrid%280%29%2C%0D%0Ablue%28line%282%2C-1%2C2%2C9%29%29%2Clocate%282.1%2C8%2Cblue%28vertical%29%29%2Clocate%282.1%2C7.3%2Cblue%28line%29%29%2C%0D%0Agreen%28line%28-1%2C4%2C9%2C4%29%29%2Clocate%285%2C4%2Cgreen%28horizontal%29%29%2Clocate%285%2C3.3%2Cgreen%28line%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Think of a real-life situation where a graph would have no x- or y-intercept?<BR>\n" );
document.write( "Interesting question. I am trying to read the mind of whoever thought of that question.<BR>\n" );
document.write( "In a 2-dimensional x-y space (like a piece of paper or a computer screen),<BR>\n" );
document.write( "I can think of a real-life situation where a graph would have no x- or y-intercept.<BR>\n" );
document.write( "It could be a curved line that would stay in one of the quadrants,<BR>\n" );
document.write( "it could be a circle, for example,<BR>\n" );
document.write( "or maybe a set of separate lines or points.<BR>\n" );
document.write( "It could look like this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C9%2C-1%2C9%2Cgrid%280%29%2C%0D%0Agreen%28circle%284%2C4%2C3%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > or this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C1%2Fsin%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C1%2Fsin%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or maybe a set of separate line segments or points.<BR>\n" );
document.write( "What would always be true in any such situation I can think of?<BR>\n" );
document.write( "It is either a curved closed graph, or it is not a continuous graph.<BR>\n" );
document.write( "I do not know what situation your teacher is thinking of, so I do not know what would always be true in that situation.<BR>\n" );
document.write( " <BR>\n" );
document.write( "In a 3-dimensional space, I can also think of a straight line, an endless, continuous straight line, with no x-axis or y-axis intercept (and maybe not even a z-axis intercept).<BR>\n" );
document.write( "In that case, I would say it is parallel to the x-y plane (always).<BR>\n" );
document.write( "Could that be the situation your teacher is thinking of?<BR>\n" );
document.write( "I can picture a segment of such a line as an almost real-life clothesline extending horizontally from one wall to another wall in a basement. One corner of the basement floor is the origin of my set of x-y-z coordinates.<BR>\n" );
document.write( "(It is a mass-less line, so it is perfectly straight; it does not sag).<BR>\n" );
document.write( "Two edges of the floor ending in that corner are segments of the x- and y-axes.<BR>\n" );
document.write( "A line where two walls meet (the one ending in that corner) is a segments of the z-axis.<BR>\n" );
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