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Equation of a line given some parametrized points on it and an area

My kid has this question for homework:
> A line passing through the point $(6,6)$ crosses the line $y=2x$ at the point $A$, and the $x$-axis at the point $B$ (the $x$-coordinate of $B$ is positive). 
 Find the line's equation if the area of the triangle $ABO$ is $48$ ($O$ is the origin).

If we set $A=(a,2a)$ and $B=(b,0)$, then the area restriction implies that $ab=48$.  But beyond that, my kid is at a loss as to how to proceed. Can you help, please?