document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84745>Question 84745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph f(x) = 3x + 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61042 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=61042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The easiest way to graph this equation is to select values of x, calculate the corresponding<BR>\n" );
document.write( "values of y, plot the resulting (x,y) points, and draw a line through the points.<BR>\n" );
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document.write( "For example, when x = 0 then substitute 0 for x in the given equation and you find that y becomes:<BR>\n" );
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document.write( "y = 3x + 2 = 3*0 + 2 = 2<BR>\n" );
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document.write( "This tells you that the point (0, 2) is on the graph.  Plot this point on the graph.<BR>\n" );
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document.write( "Next select another value for x. Suppose you choose x = 5. Substituting 5 for x in the equation<BR>\n" );
document.write( "results in:<BR>\n" );
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document.write( "y = 3*5 + 2 = 15 + 2 = 17<BR>\n" );
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document.write( "This tells you that the point (5,17) is on the graph. Plot it on your coordinate system.<BR>\n" );
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document.write( "Just to be on the safe side, let's do a third point so we can find if all three points<BR>\n" );
document.write( "are in a straight line.  Suppose we select -3 for x.  Substitute -3 for x in the equation<BR>\n" );
document.write( "and you get:<BR>\n" );
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document.write( " y = 3*(-3) + 2 = -9 + 2 = -7<BR>\n" );
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document.write( "This tells you that the (x,y) point (-3, -7) is on the line.  Plot it and draw a straight<BR>\n" );
document.write( "line through the three points.  This will show you the graph of the equation:<BR>\n" );
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document.write( "y = 3x + 2<BR>\n" );
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document.write( "When you get done the graph should look like this:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-20%2C20%2C-20%2C20%2C3x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-20%2C20%2C-20%2C20%2C3x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you understand a way you can graph linear [straight line] equations.<BR>\n" );
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