You can write it in the form . That's a hyperbola with center at the origin so its vertices are when one or the other variable is equal to 0. What do you get if y= 0? What do you get if x= 0?
An easy way to find the asymptotes is to argue that, for x very large, "1" will be small compared to either of the other terms and can be ignored. That is, for x large the graph will be approximately the same as . That will be true as long as either 6y- x= 0 or 6y+ x= 0 which give straight lines.