From your rental application (and any credit and/or background checks) the landlord will attempt to determine if you will likely pay your rent on time, abide by all rules and regulations, avoid damage to the property, avoid disturbances to your neighbors, and engage in no illegal activity.
If you want to be accepted as a tenant you will want to reassure your landlord that there will be no problems in any of those five areas.
Further from Oregon Fair Housing Council:
What to Expect When Filling Out a Rental Application:
You should read and review the entire form, as well as any addenda or attachments, or criteria very carefully.
Be certain that you fill it out completely, that you thoroughly understand it before signing it, and that all of the information is accurate
You should know that it is possible that someone else may come, apply, and rent the unit you were considering at any time, so be sure to stay in touch with the potential landlord and return the completed application as soon as possible.
You should know that many landlords will deny your application if blanks are left as they want complete and comprehensive information on you and your history before making a decision on whether to rent to you or not.
If you’re unable to answer a question on the application, at the very least you should write “not applicable,” “information available upon request,” or if absolutely necessary, “unknown.”
You may also choose to write a separate letter to explain a special circumstance; just be sure you write “see attached letter” on your application.