Thermodynamic coordinates are specific variables, such as temperature, volume, and pressure, that define the state of a system. Unlike heat and work, which are energy transfers, thermodynamic coordinates are properties that can be expressed as functions of state. For example, the temperature of a gas can be described using just volume and pressure. Heat and work are not included as thermodynamic coordinates because they do not represent energy stored within the system but rather energy in transit. Understanding these distinctions is crucial for analyzing thermodynamic processes effectively.