The short answer
For many ordinary job applications, city and state give useful location context without putting a full street address on your resume. Follow a specific employer requirement when it applies.
Give the location information that helps assess fit
A recruiter may need to know whether you are near an office, can attend on-site work, or would need to relocate. A city and state can answer that basic question without an apartment number or street address.
Use your real location. Listing a local address where you do not live can create conflicting information later. If you plan to relocate, say so explicitly rather than presenting a future location as a current one.
Local candidate
Jordan Lee · Austin, TX · [email protected] · linkedin.com/in/your-profile
Planned relocation
Chicago, IL · Relocating to Denver, CO in January
Open to moving
Atlanta, GA · Open to relocation for this role
Your resume and the employer's form are different
A resume is a document you may send to many people. A private employer application can separately require an address for its own process. Leaving the street off your PDF does not mean you should leave a required application question unanswered.
Read the form label and explain any mismatch through the employer's appropriate contact. Do not put a fabricated street address in a required field. If Apply Guy asks for address information for a particular application, review the requested details before proceeding.
Review the whole contact block
Use a working email and phone number you monitor. Link to a professional profile or portfolio only if it is relevant and ready to share. Check the exported PDF's clickable links rather than assuming text that looks like a link is functional.
Before uploading a resume to a public profile or forum, consider removing private contact details. A resume sent directly to an employer and a resume posted publicly do not need identical contact information.
Sources and further reading
Provider and employer requirements can change. Follow the instructions for the particular application or integration.