document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45078>Question 45078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x          y<BR>\n" );
document.write( "-4        -6<BR>\n" );
document.write( "0          6<BR>\n" );
document.write( "2          12<BR>\n" );
document.write( "6          24\r<BR>\n" );
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document.write( "How can you tell if this is a linear function and Why?  How do you find the equation for this data.\r<BR>\n" );
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document.write( "I say  yes this is a linear function because there is only one input per output, but I do not know why?\r<BR>\n" );
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document.write( "The equation I think is y = mx + b, I do not know how to put in the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29908 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=29908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x          y<BR>\n" );
document.write( "-4        -6<BR>\n" );
document.write( "0          6<BR>\n" );
document.write( "2          12<BR>\n" );
document.write( "6          24\r<BR>\n" );
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document.write( "How can you tell if this is a linear function and Why?  How do you find the equation for this data.\r<BR>\n" );
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document.write( "Notice that as x increases of 0 to 2 y increases by 6 <BR>\n" );
document.write( "and when x increases from 2 to 6 y increases by 2(6)=12\r<BR>\n" );
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document.write( "This consistent change if y corresponding to a measured increase<BR>\n" );
document.write( "in x means the function is linear.\r<BR>\n" );
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document.write( "You have two points: (0,6) and (2,12)<BR>\n" );
document.write( "Use them to determine the slope = (12-6)/(2-0)=6<BR>\n" );
document.write( "Sustitute one of these points and the slope into y=mx+b<BR>\n" );
document.write( "to get 6=6(0)+b which implies tht b=6\r<BR>\n" );
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document.write( "The eqution is y=6x+6<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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