document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088892>Question 1088892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the circle x^2+y^2-4x+y=7<BR>\n" );
document.write( "1 determine the equation of the tangent to the circle at the point where x=-1<BR>\n" );
document.write( "2 determine the point of intersection of these two tangents </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703254 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=703254\">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=y%5E2%2By=-x%5E2%2B4x%2B7 ALIGN=MIDDLE  ALT=\"y%5E2%2By=-x%5E2%2B4x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2By-4x-%2Bx%5E2-7=0 ALIGN=MIDDLE  ALT=\"y%5E2%2By-4x-%2Bx%5E2-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2By%2B4%2B1-7=0 ALIGN=MIDDLE  ALT=\"y%5E2%2By%2B4%2B1-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2By-2=0 ALIGN=MIDDLE  ALT=\"y%5E2%2By-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%2B-+sqrt%281%2B4%2A2%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-1%2B-+sqrt%281%2B4%2A2%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%2B-+3%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28-1%2B-+3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=-2%2Cor%2Cy=1%29 ALIGN=MIDDLE  ALT=\"system%28y=-2%2Cor%2Cy=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two lines are tangent at (-1,-2) and (-1,1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2By%5E2%2By=7 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2By%5E2%2By=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4%2By%5E2%2By%2B%281%2F2%29%5E2=7%2B4%2B1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4%2By%5E2%2By%2B%281%2F2%29%5E2=7%2B4%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B%28y%2B1%2F2%29%5E2=11%261%2F4 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B%28y%2B1%2F2%29%5E2=11%261%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Center of the circle, (2, -1/2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One line will have slope, the negative reciprocal of points (2, -1/2) and (-1,-2) and will contain (-1,-2); and the other line will have slope, the negative reciprocal of points (2, -1/2) and (-1,1) and will contain point (-1,1).<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Find equation of each of these lines, and find their intersection. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );