Final answer:
Motivational interviewing is a technique that can be used by a healthcare coordinator to engage a homeless patient and explore their readiness for change. One question that can be asked during motivational interviewing is, "What are some of your reasons for wanting to live independently?"
Step-by-step explanation:
In this scenario, the healthcare coordinator can use motivational interviewing techniques to engage the patient and explore their readiness for change. One question the healthcare coordinator can ask using motivational interviewing is, "What are some of your reasons for wanting to live independently?" This question focuses on eliciting the patient's intrinsic motivations and can help the coordinator understand the patient's personal goals and aspirations.