METHOD 1:
You've plugged your HDMI / DisplayPort cable into your motherboard and not your graphics card. The motherboard is the section at the back of the PC where you'll find your USB ports and ethernet port - if you look lower down you'll find 2-4 video ports (usually 3 x DisplayPort and 1 x HDMI) running horizontally, this is your graphics card. Shut down the PC, move the video cable to the graphics card, then power it up.