What happens if you just move out of a house without telling the landlord because you are behind with rent?
We are afraid to get further and further behind. We made a mistake but we want make it right and pay everything off. Can she do anything if we do monthly payments?
The landlord doesn't care whether you live in the house or not--what matters is she gets all the money to which she's legally entitled. If you have a written lease, you are liable for the rent through to the end of the lease, unless the landlord manages to re-rent the home. (Note: while she has to make good faith efforts to do so, nothing guarantees success; so you may be liable for the entire balance of the lease term). This would be the case whether you are living there or not.
If you don't have a written lease, you are a "month-to-month" tenant, which means you can give 30 days notice then move out, and just owe for the notice period.
If you owe a landlord money under a lease and do not pay it by the time indicated on the lease (i.e you're behind on rent), the landlord can sue you even if you're paying it off over time--she does not need to accept anything less than full payment on time.
You might want to consider either subletting the apartment, or helping the landlord find a new tenant to take over from you. Otherwise, you may find yourself liable for the full remaining balance on the lease.