It uses a two-wire interface with a bidirectional serial data line (SDA) and a unidirectional serial clock line (SCL). Data is transferred at rates of 100 kbits per second in Standard Mode, 400 kbits ...

With I²C, Clock (SCL) and Data (SDA) lines are still shared between all I2C slave devices, but the addressing scheme happens by sending a message heard by all devices on the bus.

The I2C start signal requires both clock (SCL) and data (SDA) to be brought low together, but what would happen if the displays shared a single clock line?