Investment Property/Primary Residence Tax Deduction

Hi All - We refinanced our primary home (Home #1)  and used all of the Cash-Out as a down payment on our new primary home (Home #2) . We now live in Home #2 and are trying to decide what to do with Home #1, rent or sell? If we rent Home #1, is the interest deduction credited to that home even though it will be an investment property and the Cash-Out was used as a down payment on our new primary home (Home #2)?

Thanks in advance for your help.