document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026839>Question 1026839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How are the graphs of the linear functions f(x) = x, k(x) = 3/4x, and t(x) = 4/3x the same? How are they different?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642149 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graphs of the linear functions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x ALIGN=MIDDLE  ALT=\"f%28x%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28x%29+=+%283%2F4%29x ALIGN=MIDDLE  ALT=\"k%28x%29+=+%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28x%29+=+%284%2F3%29x ALIGN=MIDDLE  ALT=\"t%28x%29+=+%284%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > are all increasing from left to right, due to the fact that their slopes are all positive.  They also have the same y-intercept of 0 (the origin).  <BR>\n" );
document.write( "The graphs differ only in their rates of increase, because of the differences in slopes.  t(x) rises the fastest, followed by f(x), and lastly, k(x).  </SPAN>\n" );
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