document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746943>Question 746943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you work out x^2 + y^2 = 25; (3, -4)\r<BR>\n" );
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document.write( "I am doing practice for my math 3 class.<BR>\n" );
document.write( "\"Equation of Tangent Line to Circle\"<BR>\n" );
document.write( "I have been having problems with this problem because for my <BR>\n" );
document.write( "Mtan part I don't know if a my answer is right.<BR>\n" );
document.write( "I got Mtan= -3/4 I just need help to find if this is correct <BR>\n" );
document.write( "And if the slope is negative or positive. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454632 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "How do you work out x^2 + y^2 = 25; (3, -4)\r<BR>\n" );
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document.write( "I am doing practice for my math 3 class.<BR>\n" );
document.write( "\"Equation of Tangent Line to Circle\"<BR>\n" );
document.write( "I have been having problems with this problem because for my <BR>\n" );
document.write( "Mtan part I don't know if a my answer is right.<BR>\n" );
document.write( "I got Mtan= -3/4 I just need help to find if this is correct <BR>\n" );
document.write( "And if the slope is negative or positive.\r<BR>\n" );
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document.write( "The coordinate point (3, - 4) is a solution to the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+25 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This coordinate point is also where the tangent line to the circle and the radius of the circle intersect.\r<BR>\n" );
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document.write( "Looking at the equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+25 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it can be seen that the coordinate point of the center of the circle is at (0, 0), or the origin.\r<BR>\n" );
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document.write( "Now, since we have two coordinate points for the radius: (0, 0), and (3, - 4), we can see that the slope of the radius = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280+-+-+4%29%2F%280+-+3%29 ALIGN=MIDDLE  ALT=\"%280+-+-+4%29%2F%280+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F-+3 ALIGN=MIDDLE  ALT=\"4%2F-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%284%29%2F3 ALIGN=MIDDLE  ALT=\"-+%284%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the slope of the radius of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+%284%29%2F3 ALIGN=MIDDLE  ALT=\"-+%284%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the radius is PERPENDICULAR to the tangent line, then the slope of the tangent line will be the negative reciprocal of the slope of the radius line, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+-+%28-+3%29%2F4%29 ALIGN=MIDDLE  ALT=\"%28+-+%28-+3%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%2F4%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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