Is you are going home a gerund phrase?

No, "going home" is not a gerund phrase. It's a present participle phrase functioning as an adjective.

Here's why:

* Gerund phrases always act as nouns. They can be the subject, object, or complement of a sentence. For example: "Hiking in the mountains is my favorite activity."

* Present participle phrases act as adjectives. They describe the noun they are next to. In your example, "going home" describes "you".

Here's the breakdown of your sentence:

* You (pronoun, subject)

* are going home (present participle phrase, adjective modifying "you")

Let me know if you have any other grammar questions!