If the line of credit would require you to personally obligate yourself or to guaranty the repayment, then yes, you can hold out--a business owner is not required to undertake a personal obligation like this unless he/she wants to or voluntarily agrees to do so. You can't be forced to undertake a personal obligation unless you agree to do so.If you are not personally guarantying, etc. the credit or repayment, but just signing as a managing member of the LLC, then you'd have to sign: you have a duty to your fellow members to take reasonable steps in the business interest, and signing a document for the LLC which does not personally obligate you is reasonable.