document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202856>Question 1202856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the centers of the two circles whose equations are given below. (x-6)^2+(y-3)^2=49 (x+4)^2+(y-4)^2=81 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838023 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Directly from the equations in the given form of the two circles, the centers are (6,3) and (-4,4).<br><BR>\n" );
document.write( "The \"run\" from the first center to the second is -10 (from 6 to -4); the \"rise\" is 1 (from 3 to 4), so the slope (rise over run) is -1/10 = -0.1.<br><BR>\n" );
document.write( "Use that slope in the general slope-intercept form of the equation using either of the two given points to find the equation.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%28-0.1%29%286%29%2Bb ALIGN=MIDDLE  ALT=\"3=%28-0.1%29%286%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-0.6%2Bb ALIGN=MIDDLE  ALT=\"3=-0.6%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3.6 ALIGN=MIDDLE  ALT=\"b=3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-0.1x%2B3.6 ALIGN=MIDDLE  ALT=\"y=-0.1x%2B3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );