Step 1: Serotonin is a monoamine neurotransmitter synthesised from the amino acid tryptophan. Tryptophan is first hydroxylated, then decarboxylated, giving a molecule with a hydroxyl group at position 5 of the indole ring.
Step 2: Because of this structure its chemical name is 5-hydroxytryptamine, abbreviated 5-HT. So the correct answer is 5-hydroxytryptamine.
Step 3: The other options belong to different molecules: 3-methoxytyramine is a dopamine metabolite, while phenethylamine and N-methyl phenylamine are unrelated phenethylamine-class compounds, none of which is serotonin.