Purchasing a Property to Break Even?

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Can someone explain to me why you would (or wouldn't) invest in a property to break even and not make any cash flow with the rent? Would this still increase your net worth and possible equity with the new property?

I'm trying to understand these terms as I go...I'm reading these forums and as much as I can on the internet before proceeding with my first investment. (see my other post below in a different thread)

Net Worth? (difference between assets - liabilities ?)
Cash Flow? (physical cash coming in?)

Anyone recommend a good rag to read on real estate?

Thanks,