SOLUTION: Find an equation of the line containing the centers of the two circles: x^2 + y^2- 4x + 6y + 4 = 0 and x^2 + y^2 + 6x + 4y + 9 = 0

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Question 1207932: Find an equation of the line containing the centers of the two circles:

x^2 + y^2- 4x + 6y + 4 = 0 and x^2 + y^2 + 6x + 4y + 9 = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put each equation into the form needed, and you can then read the center points directly from each equation.

x%5E2-4x%2By%5E2%2B6y=-4
Without explanation, the terms needed for complete-the -squares are 4 and 9.

x%5E2-4x%2B4%2By%5E2%2B6y%2B9=-4%2B4%2B9

%28x-2%29%5E2%2B%28y%2B3%29%5E2=9----------and this is for the first equation, showing that center point is (2, -3).

YOU do the other equation, and use the two centers to find the line asked-for.