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Online ProgramIn the \(xy\)-plane, the point with coordinates \((a,b)\) lies on the line with equation \(x-y=k,\) where k is a constant. The point with coordinates \((3a,4b)\) lies on the line with equation \(2x-3y=k.\) If \(b\neq 0\), what is the value of \(\frac{a}{b}\) ?