To find it, you'll need to:
1. Consult your owner's manual: This is the best place to start. The manual should have a diagram showing the location of all relays and fuses.
2. Look in the under-hood fuse box: This box usually has a cover with a diagram showing what each fuse and relay controls. Carefully examine the diagram and look for a relay labeled "headlights," "headlamp," or something similar. Some years may have separate relays for high beams and low beams.
3. Check the Underhood Relay Center (If Applicable): Some S-10 Blazers may have a separate relay center, often near the fuse box. Again, look for a diagram on the cover.
4. Use a multimeter (if comfortable): If you can't find it visually, you can use a multimeter to test the circuits going to the headlights. By tracing the wires back, you might be able to find the relay. Caution: Disconnect the battery's negative terminal before doing any electrical testing.
Without your owner's manual or a visual inspection, pinpointing the exact location is difficult. The best approach is to start with the owner's manual and then visually inspect the fuse box/relay center.