document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120588>Question 120588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I graph the following equations: (a) y = 1/3x + 1 (b) y = -3x + 1 (c) y = 3x + 1 (d) y = -1/3x + 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88415 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the same procedure to graph any linear equation.  I'll do one of them.\r<BR>\n" );
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document.write( "Select two values for x.  It doesn't really matter which values you select, but I like small, easy to manipulate numbers like 0 and 1.  Since these are linear equations, i.e. you get a straight line when you graph them, you only need to determine two points.\r<BR>\n" );
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document.write( "Once you have chosen your x values, evaluate the equation for each by substituting each of your chosen values for x and solving for y.\r<BR>\n" );
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document.write( "In your first problem, let x = 0.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F3%29%280%29%2B1=1 ALIGN=MIDDLE  ALT=\"y=%281%2F3%29%280%29%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So if x is 0, y is 1, and one of the points on our line is (0,1).  Now let x = 3.  (I chose three because 3 is the denominator of the coefficient fraction)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F3%29%283%29%2B1=1%2B1=2 ALIGN=MIDDLE  ALT=\"y=%281%2F3%29%283%29%2B1=1%2B1=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So if x is 3, y is 2, and another point on our line is (3,2).\r<BR>\n" );
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document.write( "Plot these two points on your graph.  I've labeled them A and B\r<BR>\n" );
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document.write( "Now construct a straight line through the two points with a straight edge and you are done.\r<BR>\n" );
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document.write( "All you have to do is follow the same procedure for each of the other three problems.\r<BR>\n" );
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document.write( "John </SPAN>\n" );
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