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An unclear problem with a DS question

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If p and q are distinct lines in the xy coordinate system such that the equation for p is y= ax + b and the equation for q is y= cx + d, is ac = a?

(1) d = b + 2
(2) For each point (x, y) on p, there is a corresponding point (x, y + k) on q for some constant x.

I read this question in Princeton Review. In answer part, they show this:
ac = a so a = c. But if a = 2 and c = -2, for example? I can't get it.

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