document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528432>Question 528432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain to me how to find five ordered pairs to equations like y=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 #349300 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 3x + 1\r<BR>\n" );
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document.write( "Pick a number for the x-coordinate.<BR>\n" );
document.write( "I will pick, say, x = -3.  Now I find<BR>\n" );
document.write( "the y-coordinate by substituting (-3)<BR>\n" );
document.write( "for x in\r<BR>\n" );
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document.write( "y = 3x + 1<BR>\n" );
document.write( "y = 3(-3) + 1<BR>\n" );
document.write( "y = -9 + 1<BR>\n" );
document.write( "y = -8\r<BR>\n" );
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document.write( "So one ordered pair has its x-coordinate as<BR>\n" );
document.write( "-3 and its y-coordinate as -8. So this ordered<BR>\n" );
document.write( "pair is  (-3,-8).\r<BR>\n" );
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document.write( "---------------------\r<BR>\n" );
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document.write( "Pick another number for the x-coordinate.<BR>\n" );
document.write( "I will pick, say, x = 2.  Now I find<BR>\n" );
document.write( "the y-coordinate by substituting (2)<BR>\n" );
document.write( "for x in\r<BR>\n" );
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document.write( "y = 3x + 1<BR>\n" );
document.write( "y = 3(2) + 1<BR>\n" );
document.write( "y = 6 + 1<BR>\n" );
document.write( "y = 7\r<BR>\n" );
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document.write( "So another ordered pair has its x-coordinate as<BR>\n" );
document.write( "2 and its y-coordinate as 7. So this ordered<BR>\n" );
document.write( "pair is  (2,7).\r<BR>\n" );
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document.write( "---------------------\r<BR>\n" );
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document.write( "Pick another number for the x-coordinate.<BR>\n" );
document.write( "I will pick, say, x = 0.  Now I find<BR>\n" );
document.write( "the y-coordinate by substituting (0)<BR>\n" );
document.write( "for x in\r<BR>\n" );
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document.write( "y = 3x + 1<BR>\n" );
document.write( "y = 3(0) + 1<BR>\n" );
document.write( "y = 0 + 1<BR>\n" );
document.write( "y = 1\r<BR>\n" );
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document.write( "So another ordered pair has its x-coordinate as<BR>\n" );
document.write( "0 and its y-coordinate as 1. So this ordered<BR>\n" );
document.write( "pair is  (0,1).\r<BR>\n" );
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document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Pick another number for the x-coordinate.<BR>\n" );
document.write( "I will pick, say, x =-2.  Now I find<BR>\n" );
document.write( "the y-coordinate by substituting (-2)<BR>\n" );
document.write( "for x in\r<BR>\n" );
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document.write( "y = 3x + 1<BR>\n" );
document.write( "y = 3(-2) + 1<BR>\n" );
document.write( "y = -6 + 1<BR>\n" );
document.write( "y = -5\r<BR>\n" );
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document.write( "So another ordered pair has its x-coordinate as<BR>\n" );
document.write( "-2 and its y-coordinate as -5. So this ordered<BR>\n" );
document.write( "pair is  (-2,-5).\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Pick another number for the x-coordinate.<BR>\n" );
document.write( "I will pick, say, x = 1.  Now I find<BR>\n" );
document.write( "the y-coordinate by substituting (1)<BR>\n" );
document.write( "for x in\r<BR>\n" );
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document.write( "y = 3x + 1<BR>\n" );
document.write( "y = 3(1) + 1<BR>\n" );
document.write( "y = 3 + 1<BR>\n" );
document.write( "y = 4\r<BR>\n" );
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document.write( "So another ordered pair has its x-coordinate as<BR>\n" );
document.write( "1 and its y-coordinate as 4. So this ordered<BR>\n" );
document.write( "pair is  (1,4).\r<BR>\n" );
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document.write( "---------------------\r<BR>\n" );
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document.write( "So 5 ordered pairs are (-3,-8), (2,7), (0,1), (-2,-5), and (1,4).\r<BR>\n" );
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document.write( "If you plot those on a set of axes, you will get this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2C%0D%0Agraph%28400%2C400%2C-10%2C10%2C-10%2C10%29%2C%0D%0Acircle%28-3%2C-8%2C.1%29%2Ccircle%282%2C7%2C.1%29%2C%0D%0Acircle%280%2C1%2C.1%29%2C%0D%0Acircle%28-2%2C-5%2C.1%29%2C%0D%0Acircle%281%2C4%2C.1%29%2C%0D%0Alocate%28-6.2%2B.25%2C-8%2B.27%2C%22%28-3%2C-8%29%22%29%2Clocate%282.25%2C7.27%2C%22%282%2C7%29%22%29%2C%0D%0Alocate%280.25%2C1.27%2C%22%280%2C1%29%22%29%2Clocate%28-5.2%2B.25%2C-5%2B.27%2C%22%28-2%2C-5%29%22%29%2C%0D%0Alocate%281.25%2C4.27%2C%22%281%2C4%29%22%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and you will notice that you can take a ruler and<BR>\n" );
document.write( "draw a line and it will go through all of them, just<BR>\n" );
document.write( "like magic!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-10%2C10%2C-10%2C10%2Cline%28-14%2C-41%2C14%2C43%29%2C%0D%0Agraph%28400%2C400%2C-10%2C10%2C-10%2C10%29%2C%0D%0Acircle%28-3%2C-8%2C.1%29%2Ccircle%282%2C7%2C.1%29%2C%0D%0Acircle%280%2C1%2C.1%29%2C%0D%0Acircle%28-2%2C-5%2C.1%29%2C%0D%0Acircle%281%2C4%2C.1%29%2C%0D%0Alocate%28-6.2%2B.25%2C-8%2B.27%2C%22%28-3%2C-8%29%22%29%2Clocate%282.25%2C7.27%2C%22%282%2C7%29%22%29%2C%0D%0Alocate%280.25%2C1.27%2C%22%280%2C1%29%22%29%2Clocate%28-5.2%2B.25%2C-5%2B.27%2C%22%28-2%2C-5%29%22%29%2C%0D%0Alocate%281.25%2C4.27%2C%22%281%2C4%29%22%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Edwin</pre> <BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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