Final answer:
The sentence provided is not a run-on sentence; it consists of a properly punctuated independent clause and a descriptive introductory phrase.
Step-by-step explanation:
The sentence in question, "Located just south of Kingwood, Ken's Restaurant offers an eclectic menu in a scenic country setting," is not a run-on sentence. A run-on sentence typically consists of two or more independent clauses that are joined without proper punctuation or conjunctions. In this case, the sentence has a single independent clause: 'Ken's Restaurant offers an eclectic menu in a scenic country setting' and a dependent introductory phrase 'Located just south of Kingwood,' which sets the scene. These are correctly separated by a comma, making the sentence structurally sound and clear to the reader.