document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923109>Question 923109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the tangent line to (x-2)²+(y+2)²=169 at the point (7,10).\r<BR>\n" );
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document.write( "Please answer as soon as possible. I have a test tomorrow and my teacher has not given enough time into teaching us this! Please help! I need to know all the steps and how to get it. I know that it does include y=mx+b and I think the distance and midpoint formulas though. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559882 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=559882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find derivative and then evaluate the derivative at the point (7,10).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x-2%29%2A1%2B2%28y%2B2%29%2A%28dy%2Fdx%29=0 ALIGN=MIDDLE  ALT=\"2%2A%28x-2%29%2A1%2B2%28y%2B2%29%2A%28dy%2Fdx%29=0\"   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=x-2%2B%28y%2B2%29%28dy%2Fdx%29=0 ALIGN=MIDDLE  ALT=\"x-2%2B%28y%2B2%29%28dy%2Fdx%29=0\"   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=%28y%2B2%29%28dy%2Fdx%29=-x%2B2 ALIGN=MIDDLE  ALT=\"%28y%2B2%29%28dy%2Fdx%29=-x%2B2\"   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=%28dy%2Fdx%29=%28-x%2B2%29%2F%28y%2B2%29 ALIGN=MIDDLE  ALT=\"%28dy%2Fdx%29=%28-x%2B2%29%2F%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What is the value of this rate of change at the given point?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=%28-7%2B2%29%2F%2810%2B2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=%28-7%2B2%29%2F%2810%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-5%2F12%29 ALIGN=MIDDLE  ALT=\"highlight%28-5%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That is a slope.\r<BR>\n" );
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document.write( "You are more completely looking for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-%285%2F12%29x%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-%285%2F12%29x%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you know x and y from the given point, but you do not yet know b. </SPAN>\n" );
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