document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30872>Question 30872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation that represents the data in the table.\r<BR>\n" );
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document.write( "x|0|-2|-4|-6|-8<BR>\n" );
document.write( "y|-4|-10|-16|-22|-28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17616 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 5 terms here, numbered 1,2,3,4 and 5.\r<BR>\n" );
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document.write( "Look at the difference between the x-terms... a difference of 2, well -2 to be exact.\r<BR>\n" );
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document.write( "And look at the difference between the y-values: 6... well -6 to be exact.\r<BR>\n" );
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document.write( "This is a \"three-times table\" since as one variable changes, the other changes by 3 times that. So we have y=3x.\r<BR>\n" );
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document.write( "Now, y=3x is THE 3-times table ie 3,6,9,12,15,18, etc. We have another 3-times table, \"shifted\" from this. To find the shift, we need to just pick one value of x, so pick an easy one. Namely x=0.\r<BR>\n" );
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document.write( "when x=0, y=3x becomes y=0 too. We need y to be -4, so we need to subtract 4 from 0 to get the -4. \r<BR>\n" );
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document.write( "So, the equation is y=3x-4\r<BR>\n" );
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document.write( "Now check with a value away from the x=0 value we picked. So, lets pick x=-8.\r<BR>\n" );
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document.write( "When x=-8, y=3x-4 becomes<BR>\n" );
document.write( "y = 3(-8) -4<BR>\n" );
document.write( "y = -24-4<BR>\n" );
document.write( "y = -28 which is the correct value.\r<BR>\n" );
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document.write( "So, y=3x-4 is the correct equation of this set of coordinates.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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