document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936969>Question 936969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle with center (-4,-5) and tangent to the line 2x+7y-10=0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570406 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it's tangent to the line, then a line from the center point to the intersection point is perpendicular to the tangent line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B7y=10 ALIGN=MIDDLE  ALT=\"2x%2B7y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y=-2x%2B10 ALIGN=MIDDLE  ALT=\"7y=-2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F7%29x%2B10%2F7 ALIGN=MIDDLE  ALT=\"y=-%282%2F7%29x%2B10%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The perpendicular line would have a slope of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28-2%2F7%29=-1 ALIGN=MIDDLE  ALT=\"m%28-2%2F7%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=7%2F2 ALIGN=MIDDLE  ALT=\"m=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Slope of the perpendicular line<BR>\n" );
document.write( "since perpendicular lines have slopes that are negative reciprocals.<BR>\n" );
document.write( "Using the point,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=%287%2F2%29%28x-%28-4%29%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=%287%2F2%29%28x-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%287%2F2%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"y%2B5=%287%2F2%29%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%287%2F2%29x%2B14 ALIGN=MIDDLE  ALT=\"y%2B5=%287%2F2%29x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%287%2F2%29x%2B9 ALIGN=MIDDLE  ALT=\"y=%287%2F2%29x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation of the perpendicular line<BR>\n" );
document.write( "Find the intersection point of the two lines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F2%29x%2B9=-%282%2F7%29x%2B10%2F7 ALIGN=MIDDLE  ALT=\"%287%2F2%29x%2B9=-%282%2F7%29x%2B10%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49x%2B126=-4x%2B20 ALIGN=MIDDLE  ALT=\"49x%2B126=-4x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53x=-106 ALIGN=MIDDLE  ALT=\"53x=-106\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%287%2F2%29%28-2%29%2B9 ALIGN=MIDDLE  ALT=\"y=%287%2F2%29%28-2%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7%2B9 ALIGN=MIDDLE  ALT=\"y=-7%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance from (-4,-5) to (-2,2) is the radius of the circle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=%28-2-%28-4%29%29%5E2%2B%282-%28-5%29%29%5E2 ALIGN=MIDDLE  ALT=\"R%5E2=%28-2-%28-4%29%29%5E2%2B%282-%28-5%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=%28-2%2B4%29%5E2%2B%282%2B5%29%5E2 ALIGN=MIDDLE  ALT=\"R%5E2=%28-2%2B4%29%5E2%2B%282%2B5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=2%5E2%2B7%5E2 ALIGN=MIDDLE  ALT=\"R%5E2=2%5E2%2B7%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=4%2B49 ALIGN=MIDDLE  ALT=\"R%5E2=4%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=53 ALIGN=MIDDLE  ALT=\"R%5E2=53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x%2B4%29%5E2%2B%28y%2B5%29%5E2=53%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x%2B4%29%5E2%2B%28y%2B5%29%5E2=53%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-8%2C8%2C-8%2C8%2Cgrid%281%29%2Ccircle%28-4%2C-5%2C0.2%29%2Ccircle%28-2%2C2%2C0.2%29%2Ccircle%28-4%2C-5%2Csqrt%2853%29%29%2Cgraph%28300%2C300%2C-8%2C8%2C-8%2C8%2C%28-2x%2B10%29%2F7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );