document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208044>Question 1208044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = -4x + 1,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A. Find the average rate of change from 2 to 5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B. Find an equation of the secant line containing (2, f(2)) and (5, f(5)).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #846190 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=846190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "f(x) is linear since it fits the y = mx+b format<BR>\n" );
document.write( "m = -4 = slope<BR>\n" );
document.write( "b = 1 = y intercept\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The slope is the same as the rate of change.<BR>\n" );
document.write( "This is because,<BR>\n" );
document.write( "slope = rise/run = (change in y)/(change in x)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore the answer to part A is -4.<BR>\n" );
document.write( "The \"from 2 to 5\" portion won't affect the answer. <BR>\n" );
document.write( "The rate of change from p to q will also be -4. <BR>\n" );
document.write( "The slope is the same throughout the line.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer to part B is the equation y = -4x+1<BR>\n" );
document.write( "The secant line is identical to the original line itself.<BR>\n" );
document.write( "It's only when you have curves like parabolas when the secant line is different from the function curve.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );