Points \((a, b)\) and \((c, d)\) lie on line \(L\) in the coordinate plane. Does point \((3, 3)\) also lie on line

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Points \((a, b)\) and \((c, d)\) lie on line \(L\) in the coordinate plane. Does point \((3, 3)\) also lie on line \(L?\)

(1) Line \(L\) passes through the point of origin.
(2) \(b - d = a - c.\)

[spoiler]OA=C[/spoiler]

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