You would find that most King Lear questions ask you to analyse how different interpretations of Lear are affected by the context in which it was read. E.g in the 1600s, Lear challenged the authority of the chain of being, and had no moral ending, and was thus, seen as a controversial text, and rewritten by Nahum Tate to suit the wants of the audiences of that feudal- driven society. Whilst in the 1960s, the world was suffering from the effects of the wars, WW1, WW2, the Korean war and the Vietnam war. Society was quickly becoming very disillusioned with the whole idea of life because of the needless carnage and hate that circulated. The values of this society was the one in which Peter Brooke introduced his version of Lear: an existentialist view which reflected the cruelty, harshness and pointlessness of the godless world they lived in, shown through his use of the barren tundra as the setting, and the subdued, distant performances of the actors. Also, in the Eyre version, there are feminist overtones conveyed through the portrayal of Lear as the tyrant, and the daighters, Regan and GOnerill as the victims of domestic disturbance.
So just understand that interpretations and readings are shaped by the values of the audiences of the time and this is reflected in their film/stage techniques, just repeat that in different words, as though you were linking it in an essay. This shows your teacher that youre still on track.
Remember to write also, that it is through the universality of the themes, ideas, and values expressed that enable them to be reinterprted throuhgout time, in many differnte contexts. I suppose that could be the starting point of your interview.
*phew*
Hope that helped cos i remember how hard KL used to be for me!