A vehicle includes an engine, a continuously variable transmission and a torque converter that has a lock-up clutch. The torque converter is arranged between the engine and the continuously variable transmission. The vehicle further includes engine accessories such as an air conditioner compressor and alternator that are driven by the engine. In this vehicle, a slip control is executed that produces a predetermined slip rotational state by controlling a lock-up capacity of the lock-up clutch. During slip control of the lock-up clutch, the engine-equipped vehicle executes cooperative control that suppresses load fluctuations of engine accessories such as the air conditioner compressor and the alternator.