document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218071>Question 218071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the equation and show your slope: -4x-2y=-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164280 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=164280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the equation and show your slope: -4x-2y=-6\r<BR>\n" );
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document.write( "Step 1.  Let's put the equation in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b).\r<BR>\n" );
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document.write( "Step 2.  Putting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x-2y=-6 ALIGN=MIDDLE  ALT=\"-4x-2y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > in slope-intercept form yields the following steps.\r<BR>\n" );
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document.write( "Add 2y+6 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x-2y%2B2y%2B6=-6%2B2y%2B6 ALIGN=MIDDLE  ALT=\"-4x-2y%2B2y%2B6=-6%2B2y%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B6=2y ALIGN=MIDDLE  ALT=\"-4x%2B6=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 2y to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2F2%2B6%2F2=2y%2F2 ALIGN=MIDDLE  ALT=\"-4x%2F2%2B6%2F2=2y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B3=y ALIGN=MIDDLE  ALT=\"-2x%2B3=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  The equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the slope m=-2 and y-intercept b=3.\r<BR>\n" );
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document.write( "Need one more point to graph the line since we have (0,3) as one point.  A slope m=-2 means every move to one unit to the right yields two step downward.\r<BR>\n" );
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document.write( "So starting at (0,3) then one unit to the right means x2=0+1=1 and then two units down means y2=3-2=1.  Then, the other point we can use to plot the line is (1,1).  We can check if it satisfies the equation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=-2%2A1%2B3 ALIGN=MIDDLE  ALT=\"1=-2%2A1%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which it does.\r<BR>\n" );
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document.write( "Here's the graph:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C+5%2C+-5%2C+5%2C+-2x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C+5%2C+-5%2C+5%2C+-2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful. \r<BR>\n" );
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document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. \r<BR>\n" );
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document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r<BR>\n" );
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document.write( "Respectfully, <BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV<BR>\n" );
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