document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993320>Question 993320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=mx+b, and k&#8800;0, find f(x+k)-f(x) /k <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612594 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=612594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"f%28x%29+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bk%29+=+m%28x%2Bk%29+%2B+b+=+mx+%2B+mk+%2B+b ALIGN=MIDDLE  ALT=\"f%28x%2Bk%29+=+m%28x%2Bk%29+%2B+b+=+mx+%2B+mk+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mx+%2B+mk+%2B+b+-+%28mx+%2B+b%29%29+%2F+k ALIGN=MIDDLE  ALT=\"%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mx+%2B+mk+%2B+b+-+%28mx+%2B+b%29%29+%2F+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mx+%2B+mk+%2B+b+-+mx+-+b%29+%2F+k ALIGN=MIDDLE  ALT=\"%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mx+%2B+mk+%2B+b+-+mx+-+b%29+%2F+k\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "when you combine like terms in the numerator, the mx and the -mx cancel out and the b and the -b cancel out and you are left with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mk%29+%2F+k ALIGN=MIDDLE  ALT=\"%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+%28mk%29+%2F+k\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "the k in the numerator and the denominator will cancel out and you will be left with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+m ALIGN=MIDDLE  ALT=\"%28f%28x%2Bk%29+-+f%28x%29%29+%2F+k+=+m\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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