Is my video card on my PC messed up, or what?

Hi all. I just moved and naturally took my desktop PC with me. It’s a circa 2012 ASUS tower with a Phillips LCD monitor. After plugging it in at my new home, I noticed the monitor wouldn’t turn on automatically like usual when I turned on my computer. I turned it on manually and the screen said no signal. I figured the VGA cable or jack may be bad and went out and got an HDMI cable. I tried it in both ports and checked the input channel and it didn’t work either. I also tried unplugging the whole shebang and holding down the power button for thirty seconds (on someone’s recommendation) to no avail either. What do I do?