document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152939>Question 152939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve and sketch the solution to this inequality on a graph.<BR>\n" );
document.write( " y < -1/3x + 2\r<BR>\n" );
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document.write( "Thank you for helping me!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112388 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider this, if your equation was:<BR>\n" );
document.write( " y = -1/3x + 2<BR>\n" );
document.write( "Notice, instead of the < sign, it is replaced by an = sign.<BR>\n" );
document.write( "This is simply an equation of a line in the \"slope intercept\" form:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "where<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept at (0,b)<BR>\n" );
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document.write( "So, for your equation:<BR>\n" );
document.write( " y = -1/3x + 2<BR>\n" );
document.write( "m (slope) is -1/3 (that is, rise of -1 and run of 3).<BR>\n" );
document.write( "b (y-intercept) is at (0,2)<BR>\n" );
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document.write( "To plot the line above on graph paper, you could:<BR>\n" );
document.write( "Step 1: plot the y-intercept -- draw a dot at (0,2)<BR>\n" );
document.write( "Step 2: using the slope (rise/run) -- starting from the dot above, (since rise is -1) go down one unit, and (since run is 3) go right three units -- place another dot here.<BR>\n" );
document.write( "Step 3: connect the two dots and you've just plotting the line.<BR>\n" );
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document.write( "Now, let's talk about that < sign. Let's modify the work done above.<BR>\n" );
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document.write( "Your original equation of:<BR>\n" );
document.write( " y < -1/3x + 2<BR>\n" );
document.write( "Because the equation above does NOT have an = sign, instead of a SOLID line connecting the two dots -- make it a dotted line instead.  AND, finally, because it is a < sign, SHADE the area UNDER this dotted line -- that's it, you're done.<BR>\n" );
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