document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215259>Question 215259</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321416162/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 3.	Graph on a plane:  3x – 6y < 18\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162633 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3.	Graph on a plane:  3x – 6y < 18 \r<BR>\n" );
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document.write( "Step 1.  Before graphing the inequality let's look at the equality 3x-6y=8 which will help graph the inequality\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+x+%2B+-6+y+=+18 ALIGN=MIDDLE  ALT=\"3+x+%2B+-6+y+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-3%2F-6 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%2F-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. 18/3 = 6.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 18/-6 = -3.</LI><LI>Slope is -3/-6 = 0.5.</LI><LI> Equation in slope-intercept form: y=0.5*x+-3.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+-3-8%2C+-3%2B8%2C+0.5%2Ax%2B-3+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+-3-8%2C+-3%2B8%2C+0.5%2Ax%2B-3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Step 2.  Now let's graph the inequality\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=plot_any_inequality.solver>Plot Any Inequality</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Graphing function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3Cx%2F2-3 ALIGN=MIDDLE  ALT=\"y%3Cx%2F2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+600%2C+600%2C+-2%2C+13%2C+-10%2C+4%2C+y%3Cx%2F2-3+%29 ALIGN=MIDDLE  ALT=\"graph%28+600%2C+600%2C+-2%2C+13%2C+-10%2C+4%2C+y%3Cx%2F2-3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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