Which service encompasses physical therapy, occupational therapy, and speech-language therapy in the home setting?

Home Health Care is the correct response as it specifically refers to a range of healthcare services provided in a patient's home. This includes rehabilitation services such as physical therapy, occupational therapy, and speech-language therapy. These therapies aim to help individuals recover or improve their physical functions and communication skills, thus enhancing their quality of life while receiving care in a comfortable environment.

In the context of the other options, Personal Care Services typically focus on assistance with daily living activities and may not include skilled therapies. Respite Care provides temporary relief to primary caregivers and is not inherently a medical service. Long-Term Care generally refers to comprehensive support for individuals with chronic illnesses or disabilities, which may include placement in facilities rather than home settings. Hence, Home Health Care is the most accurate description of services that involve skilled therapy in the home.