document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74674>Question 74674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of a horizontal line that passes through the point at (-2,-3)?\r<BR>\n" );
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document.write( "I have been working on this problem and I still do not understand it. May some one please help me? Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53645 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=53645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A horizontal line will have the slope of 0. This is because the y value does not change but the x value changes. For instance, in the slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > a horizontal line will have identical y values while the x changes. For instance, if we pick a horizontal line that goes through (0,2) and (2,2) we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%282-2%29%2F%282-0%29=0%2F2=0 ALIGN=MIDDLE  ALT=\"m=%282-2%29%2F%282-0%29=0%2F2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So any horizontal line will have a slope of zero. Now plug in m=0 and the point (-2,-3) into the point slope equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-3%29=0%28x-%28-2%29%29 ALIGN=MIDDLE  ALT=\"y-%28-3%29=0%28x-%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Plug in m=0 and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(-2,-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B3=0x%2B2%280%29 ALIGN=MIDDLE  ALT=\"y%2B3=0x%2B2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Distribute the 0 to each term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0-3 ALIGN=MIDDLE  ALT=\"y=0-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 3 from both sides<BR>\n" );
document.write( "So the equation is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-3 ALIGN=MIDDLE  ALT=\"+y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we graphed the equation, we would get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(dark red line) </SPAN>\n" );
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