The correct answer is DVI (Digital Visual Interface) since it is designed to transmit high-definition video signals from a computer to a monitor but does not carry an audio signal. HDMI and DisplayPort, while also capable of transmitting high-definition video, additionally support audio transmission, which is not required in this scenario. VGA can carry an analog signal that is lower in quality compared to DVI, and it does not support audio either. Thunderbolt supports high-resolution displays and data transfers but is not typically used solely for video without audio like DVI.