document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016058>Question 1016058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle defined by the equation (x-6)²+(y-9)²=34 is tangent to a line at the point (9,4). What is the equation 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 #632439 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=632439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A radius of the circle with endpoint (9,4) and the center (6,9) is on the line passing through those two points.  Omitting that set of steps, this radius is on the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x%2B19 ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" >, showing the slope is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F3 ALIGN=MIDDLE  ALT=\"-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To answer the question for the exercise, you want the equation of the line with slope  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and passing through  (9,4).  The line will be TANGENT to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x%2B19 ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" > and will contain the point (9,4).,   <BR>\n" );
document.write( "this way...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4=%283%2F5%29%28x-9%29 ALIGN=MIDDLE  ALT=\"y-4=%283%2F5%29%28x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using point-slope form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4=%283%2F5%29x-27%2F5 ALIGN=MIDDLE  ALT=\"y-4=%283%2F5%29x-27%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F5%29x-27%2F5%2B4 ALIGN=MIDDLE  ALT=\"y=%283%2F5%29x-27%2F5%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F5%29x-27%2F5%2B20%2F5 ALIGN=MIDDLE  ALT=\"y=%283%2F5%29x-27%2F5%2B20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%283%2F5%29x-7%2F5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%283%2F5%29x-7%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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