If we look at Eric as a character, we should be able to associate him with a certain conscience, which, when you think about it, is what the Inspector tried to do; get the characters to appeal to their conscience. Now Eric, along with Sheila, both give real, emotional responses to the death of Eva/Daisy, whereas Gerald and Mr/Mrs Birling didn't. Talk about that; surely as responsible, wealthy adults, they should be the mature ones, accepting responsibility and taking the blame. Yet it took the youngest child to accept fault.
Also talk about the actual faults of Eric. If i'm right in saying, Eric was a raging drunk, and stole from his fathers business to support his baby (from the affair). This is also a point to mention, how he has openly admitted to these problems, the theft, the alcoholism, and the affair. He had accepted the consequences of them, as he couldn't live with the burden of a lie upon his shoulders.
As a character, Eric was created to show that it doesn't matter the money you have, the status you have gained, or the people you know, it's about the honest, trustworthy truth, and the inspector tried to embellish this.
With any quote, try and look beyond it's words, try and talk about it's 'life', how it started (what caused it), what happened because of it, and how it was resolved, and most importantly, what the effect of this is upon the reader.