Which method is most often used to propose amendments to state constitutions?

A constitutional convention is held to propose amendments.
A petition proposes the amendment and begins the initiative process.
A new amendment is proposed in a session of the legislature.
A governor proposes the amendment in a state address.

A new amendment is proposed in a session of the legislature.

The method most often used to propose amendments to state constitutions is when a new amendment is proposed in a session of the legislature.