document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290635>Question 290635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the tangent line at the given point then write the equation of the tangent line.\r<BR>\n" );
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document.write( "f(x)=4/x, x=5\r<BR>\n" );
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document.write( "Ans y=-4x/25+8/5<BR>\n" );
document.write( " I keep getting this answer 4x + 25y = 40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210323 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=210323\">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+=+4%2Fx ALIGN=MIDDLE  ALT=\"f%28x%29+=+4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4%2Fx ALIGN=MIDDLE  ALT=\"y+=+4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4x%5E%28-1%29 ALIGN=MIDDLE  ALT=\"y+=+4x%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the slope (dy/dx) at x = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+-4x%5E%28-2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+-4x%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+-4%2Fx%5E2 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+-4%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and at x = 5,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx+=+-4%2F25 ALIGN=MIDDLE  ALT=\"dy%2Fdx+=+-4%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4%2F25%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%28-4%2F25%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 5 and y = 4/5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5+=+%28-4%2F25%29%285%29%2Bb ALIGN=MIDDLE  ALT=\"4%2F5+=+%28-4%2F25%29%285%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5+=+%28-4%2F5%29%2Bb ALIGN=MIDDLE  ALT=\"4%2F5+=+%28-4%2F5%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for b. Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5+=+b ALIGN=MIDDLE  ALT=\"8%2F5+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > so finally...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%28-4%2F25%29x%2B8%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%28-4%2F25%29x%2B8%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );