document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179955>Question 1179955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line tangent to the circle at the indicated point.<BR>\n" );
document.write( "x^2+y^2-6x+8y-144 = 0 at point (8,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809538 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x%2By%5E2%2B8y=144+ ALIGN=MIDDLE  ALT=\"x%5E2-6x%2By%5E2%2B8y=144+\"   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=%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B%28y%5E2%2B8y%2Bb%5E2%29-b%5E2=144+ ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%2Bb%5E2%29-b%5E2%2B%28y%5E2%2B8y%2Bb%5E2%29-b%5E2=144+\"   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=%28x%5E2-6x%2B3%5E2%29-3%5E2%2B%28y%5E2%2B8y%2B4%5E2%29-4%5E2=144+ ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%2B3%5E2%29-3%5E2%2B%28y%5E2%2B8y%2B4%5E2%29-4%5E2=144+\"   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=%28x-3%29%5E2-9%2B%28y%2B4%29%5E2-16=144+ ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-9%2B%28y%2B4%29%5E2-16=144+\"   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=%28x-3%29%5E2%2B%28y%2B4%29%5E2-25=144+ ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B4%29%5E2-25=144+\"   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=%28x-3%29%5E2%2B%28y%2B4%29%5E2=144+%2B25 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=144+%2B25\"   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=%28x-3%29%5E2%2B%28y%2B4%29%5E2=169 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=169\"   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=%28x-3%29%5E2%2B%28y%2B4%29%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "centre is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=13 ALIGN=MIDDLE  ALT=\"r=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "slope of line through (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >)  and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   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=m=%288-%28-4%29%29%2F%288-3%29 ALIGN=MIDDLE  ALT=\"m=%288-%28-4%29%29%2F%288-3%29\"   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=m=%288%2B4%29%2F5 ALIGN=MIDDLE  ALT=\"m=%288%2B4%29%2F5\"   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=m=12%2F5 ALIGN=MIDDLE  ALT=\"m=12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since tangent is perpendicular to it, the slope of line of the tangent is therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%2812%2F5%29=-5%2F12 ALIGN=MIDDLE  ALT=\"-1%2F%2812%2F5%29=-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F12%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%285%2F12%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, tangecy point is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   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=8=-%285%2F12%298%2Bb ALIGN=MIDDLE  ALT=\"8=-%285%2F12%298%2Bb\"   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=b+=+34%2F3 ALIGN=MIDDLE  ALT=\"b+=+34%2F3\"   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=y=-%285%2F12%29x%2B34%2F3 ALIGN=MIDDLE  ALT=\"y=-%285%2F12%29x%2B34%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> your tangent\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-20%2C+20%2C+-20%2C+20%2C%0D%0Acircle%288%2C8%2C.12%29%2C+locate%288%2C8%2Cp%288%2C8%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-20%2C+20%2C+-20%2C+20%2C-sqrt%28169-%28x-3%29%5E2%29-4+%2Csqrt%28169-%28x-3%29%5E2%29-4%2C+-%285%2F12%29x%2B34%2F3%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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