document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200535>Question 1200535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line x - 2y + 4 = 0 is tangent to a circle at (0,2). The line y = 2x - 7 is tangent to the same circle at (3, -1). Find the center of the circle.\r<BR>\n" );
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document.write( "NOTE: I WORKED THIS OUT WRONGLY ON PAPER. I DON'T KNOW HOW TO UPLOAD PHOTOS ON THIS MATH SITE WHICH IS VERY LIMITED.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834747 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line x - 2y + 4 = 0 is tangent to a circle at (0,2). The line y = 2x - 7 is tangent to the same circle at (3, -1). Find the center of the circle.<BR>\n" );
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document.write( "Find the slope of each line.<BR>\n" );
document.write( "Then find the slope of the lines thru the points and perpendicular to the given lines.<BR>\n" );
document.write( "Then find the equations of the perpendicular lines.<BR>\n" );
document.write( "Find the intersection of the lines.<BR>\n" );
document.write( "That's the center of the circle (point (h.k)).<BR>\n" );
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document.write( "Not requested:<BR>\n" );
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document.write( "The distance from the center of the circle to either given point is the radius of the circle, r.<BR>\n" );
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document.write( "The equation of the circle is (x-h)^2 + (y-k)^2 = r^2 </SPAN>\n" );
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