You: "I would like to confirm my flight."
Them: "Can I get your ticket number?"
You: "The number is 45-6-43."
Them: "You are scheduled to depart on June 15th at 1:00 pm. Is this correct?"
You: "Yes it is."
Them: "Is anybody else traveling with you?"
You: "Yes, my wife."
Them: "Can I have the other ticket number?"
You: "It is 45-6-44."
Them: "Your tickets have been confirmed. Please arrive at the airport 3 hours before your flight departs. Thank you for calling."
Some other questions you might hear are similar to the ones you might hear at the airport counter.
"Would you like to book your seats now?"
"Would you like a window seat or an aisle seat?"
"What is your ticket number?"
"What is your last name?"
"What is your first name?