document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262592>Question 262592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I am trying to help my nieces with their homework, but I don't have much information to go by and it has been awhile since I played with equations.<BR>\n" );
document.write( "Anyhow, maybe one of you know more what about what they are looking for or at least give me a clue.\r<BR>\n" );
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document.write( "I think they are trying to find the equation that by replacing the value IN, the result should match the OUT.\r<BR>\n" );
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document.write( "e.g. X + Y = Z  (Where X=IN, & Z=OUT)  makes sense?  sorry if it doesn't.<BR>\n" );
document.write( "I know is hard to pick from very little information.<BR>\n" );
document.write( ":)  \r<BR>\n" );
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document.write( "IN   OUT<BR>\n" );
document.write( "2    -1<BR>\n" );
document.write( "3    +1<BR>\n" );
document.write( "10   +15<BR>\n" );
document.write( "15   +25<BR>\n" );
document.write( "5    +7\r<BR>\n" );
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document.write( "Thanks a lot<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193426 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=193426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 -1<BR>\n" );
document.write( "3 +1<BR>\n" );
document.write( "10 +15<BR>\n" );
document.write( "15 +25<BR>\n" );
document.write( "5 +7 \r<BR>\n" );
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document.write( "If you make x the values in the IN column and y the corresponding values in the OUT column you can then plot the points (2,-1), (3,1), (10,15), (15,25) and (5,7) on an x-y axis. \r<BR>\n" );
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document.write( "These points all lie on a line except the point (5,7). The equation of the line in \"slope-intercept\" form is actually y = 2x - 5 where 2 is the slope of the line (I calculated the slope by selecting two of the points (e.g. (15,25) and (10,15) and taking the difference of the y values (25-15) and dividing by the difference of the corresponding x values (15-10). The slope then is (25-15)/(15-10) = 10/5 = 2.\r<BR>\n" );
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document.write( "If the last point had been (5,5) instead of (5,7) all the points would lie on this line.\r<BR>\n" );
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document.write( "I hope this helps.\r<BR>\n" );
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document.write( "      </SPAN>\n" );
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