document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873332>Question 873332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am trying to find the function rule for the following table: x: 2, 4, 6  y: 1, 0, -1.  I know that it is x+2 and that the y's are decreasing by 1 each time, but I'm having a hard time finding a function rule that works for each x, y pair.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526800 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This a line and note that the standard form for a line is y = mx + b, where m is the slope and b is the y intercept<BR>\n" );
document.write( "m = (Y2 - Y1) / (x2 - X1) = (0 - 1) / (4 - 2) = -1/2<BR>\n" );
document.write( "so far we have<BR>\n" );
document.write( "y = -x/2 + b<BR>\n" );
document.write( "let's use the point (4, 0)<BR>\n" );
document.write( "0 = -4/2 + b<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "our function is<BR>\n" );
document.write( "f(x) = -x/2 + 2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );