Which of the following would NOT be indicated by a turn-and-slip indicator?

The turn-and-slip indicator is specifically designed to provide information about the aircraft's performance during turns. It indicates the direction of the turn and the quality of the turn, helping pilots understand how effectively they are executing a maneuver.

When considering the provided options, the indicator shows yaw information as it helps determine whether the aircraft is coordinated in its turn or if it is skidding or slipping.

However, it does not provide any information regarding the rate of climb. The rate of climb, which indicates vertical speed, would be measured by an altimeter or vertical speed indicator instead. Thus, the correct choice is that the turn-and-slip indicator would NOT indicate the rate of climb, which is why this option is accurate.