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?