document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=650306>Question 650306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am able to answer the first part of the question, but am confused with how to describe the line in terms of it's relationship to the x and y axes. Please can you help me understand? Thank you.\r<BR>\n" );
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document.write( "Write the equation of the line that passes through (-4,5) with slope equal to zero. \r<BR>\n" );
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document.write( "y-5=0(x-(-4))<BR>\n" );
document.write( "y-5=0<BR>\n" );
document.write( "y=5\r<BR>\n" );
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document.write( "  Describe this line in terms of its relationship to the x and y axes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407449 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=407449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You correctly solved the first part of the problem. Your answer tells you that this equation:<BR>\n" );
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document.write( "y - 5 = 0(x - (-4))<BR>\n" );
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document.write( "will always be true if y = +5 because when you substitute +5 for y this equation becomes:<BR>\n" );
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document.write( "0 = 0(x - (-4))<BR>\n" );
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document.write( "which reduces to:<BR>\n" );
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document.write( "0 = 0<BR>\n" );
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document.write( "Notice that it does not matter what value you assign to x. x could be -100, +50, or any other value you choose. As long as y is +5, the slope of the graph of this equation will be zero.<BR>\n" );
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document.write( "How does this translate to a graph?  Any time that you are told that a line has a slope of zero, you can immediately say that it's graph is a horizontal line because its value of y never changes as you move to the right along the x-axis.<BR>\n" );
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document.write( "In this problem, you calculated that the unchanging value of y is +5. Therefore, you can describe the graph as being horizontal (parallel to the x-axis) and crossing the y-axis at +5. In picture form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-50%2C+50%2C+-10%2C+10%2C+5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-50%2C+50%2C+-10%2C+10%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The horizontal red line above the x-axis is the graph of a line having a zero slope and a y value of +5. Note that on the x-axis at the point where x equals -4, the corresponding value of y as shown by the graph is +5, so the two original constraints (a zero slope graph having the x,y point (-4,5) on the line) are both satisfied.<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
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