document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126902>Question 126902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Can I have some help with a linear function is given?<BR>\n" );
document.write( "g(x) = -7x + 8\r<BR>\n" );
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document.write( "(a) Find the average rate of change of the function between x = a and x = a + h.\r<BR>\n" );
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document.write( "(b) Find the slope of the line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92957 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=92957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g(x) = -7x + 8 <BR>\n" );
document.write( "(a) Find the average rate of change of the function between x = a <BR>\n" );
document.write( "and x = a + h. <BR>\n" );
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document.write( "Average rate = [g(a+h)-g(a)/[(a+h)-a]= [g(a+h)-g(a)]/h<BR>\n" );
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document.write( "g(a+h) = -7(a+h)+8 = -7a-7h+8<BR>\n" );
document.write( "g(a) = -7a+8<BR>\n" );
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document.write( "Average rate =[(-7a-7h+8)-(-7a+8)]/h = -7h/h = -7<BR>\n" );
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document.write( "(b) Find the slope of the line<BR>\n" );
document.write( "Since g(x) =-7x+8, the slope is -7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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