exam Maths Puzzle Numerical Ability

Find the equation of the line (in slope-intercept form) that passes through the origin and the center of the circle 2x^2 + 2y^2 + 12x + 8y + 9 = 0.

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Can someone please check my answer. I think I have it correct.

x=2x+3
x-2x-3=0
(1-2)x-3=0
-3=x

Thank You Perform the indicated operation.

x squared - 3x OVER 5x squared TIMES 10x OVER x squared - 4x + 3