document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218681>Question 218681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following equation of a line. <BR>\n" );
document.write( "2x + 3y &#8722; 6 = 0 <BR>\n" );
document.write( "(a) Find the slope and y-intercept (if possible) of the line specified by the equation. (If an answer is undefined, enter UNDEFINED.)<BR>\n" );
document.write( " m = ?<BR>\n" );
document.write( "(x,y)=?<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 #164652 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=164652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the following equation of a line.<BR>\n" );
document.write( "2x + 3y &#8722; 6 = 0\r<BR>\n" );
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document.write( "(a) Find the slope and y-intercept (if possible) of the line specified by the equation. (If an answer is undefined, enter UNDEFINED.)\r<BR>\n" );
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document.write( "m = 2  This is the slope.  See steps below<BR>\n" );
document.write( "(x,y)= (0,2)  This is the y-intercept.  See steps below.\r<BR>\n" );
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document.write( "Step 1.  The slope-intercept from is given as y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).\r<BR>\n" );
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document.write( "Step 2.  Put the given equation in slope intercept form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y-6=0 ALIGN=MIDDLE  ALT=\"2x%2B3y-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 6-2x to from 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=2x%2B3y-6=6-3x=0%2B6-2x ALIGN=MIDDLE  ALT=\"2x%2B3y-6=6-3x=0%2B6-2x\"   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=3y=-2x%2B6 ALIGN=MIDDLE  ALT=\"3y=-2x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 3 to both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F3=-2x%2F3%2B6%2F3 ALIGN=MIDDLE  ALT=\"3y%2F3=-2x%2F3%2B6%2F3\"   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%2F3%2B2 ALIGN=MIDDLE  ALT=\"y=-2x%2F3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2F3%2B2 ALIGN=MIDDLE  ALT=\"y=-2x%2F3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a slope m=-2/3 and y-intercept b=2 or at point(0,2).\r<BR>\n" );
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document.write( "Now the slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for every 3 units you go the right, you go two units down.   \r<BR>\n" );
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document.write( "To plot the line take the y-intercept at point (0,2).  So starting at point (0,2) or x1=0 and y1=2 we go three units to the right means x2=0+3=3 and 3 units down means y2=2-2=0.  So we have two points (0,2) and (3,0).\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+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above explanation was useful.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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