How many lines can pass through two given points?

Geometry Level pending

If the circles \(x^{2}+y^{2}+2ax+cy+a=0\) and \(x^{2}+y^{2}-3ax+dy-1=0\) intersect in two distinct points \(P\) and \(Q\), then the line \(5x+by-a=0\) passes through \(P\) and \(Q\) for \(\text{__________} \).

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