![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
Find an equation of the line containing the center of the two circles
\n" ); document.write( "x^2-y^2-10x-6y+33=0 and
\n" ); document.write( "x^2+y^2-4x-10y+25=0
\n" ); document.write( "-----------
\n" ); document.write( "Step 1, find the centers.
\n" ); document.write( "I'll do 1:
\n" ); document.write( "x^2-y^2-10x-6y+33=0
\n" ); document.write( "That's not a circle, it's a hyperbola.
\n" ); document.write( "If you meant x^2+y^2-10x-6y+33=0
\n" ); document.write( "Complete the squares of x and y separately.
\n" ); document.write( "x^2+y^2-10x-6y+33=0
\n" ); document.write( "x^2 - 10x + y^2 - 6y = -33
\n" ); document.write( "x^2 - 10x + 25 + y^2 - 6y + 9 = -33 + 25 + 9 = 1
\n" ); document.write( "(x-5)^2 + (y-3)^2 = 1
\n" ); document.write( "Center at (5,3)
\n" ); document.write( "===============
\n" ); document.write( "Find the other center.
\n" ); document.write( "----
\n" ); document.write( "Then find the slope, m, of the line between the 2 points.
\n" ); document.write( "Then use y-y1 = m*(x-x1) where (x1,y1) is either point.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "