What is the Latin infinitive form that corresponds to "I am"?

The infinitive form that corresponds to "I am" in Latin is "esse." This is the basic form of the verb, which translates to "to be" in English. The verb "sum" is the first person singular present indicative form of "esse," meaning "I am." When looking for an infinitive, one seeks the unconjugated form that represents the essence of the verb without specifying a subject or tense, which is precisely what "esse" provides.

In the context of the other options, "possum" translates to "I am able" and is a different verb entirely. "Essem" is a form that indicates a hypothetical or subjunctive aspect, translating to "I would be" or "If I were" and is not the infinitive form. Thus, "esse" is the correct choice as it directly corresponds to the infinitive form meaning "to be."