Open the hood, stand in front of headlight assembly, notice two black tabs sticking up behind assembly in back of the radiator support. Wiggle the tabs up and off, these tabs lock the headlight assembly into the radiator support. Once the tabs are removed you can wiggle the assembly out the front and gain access to the bulbs. Install in reverse.
It is built into the headlight switch.
Inside the headlight switch.
You didn't mention what year but the headlight switch in any S10 I've ever seen has always been on the far left side of the dash.
Need to know what year the Blazer is.
Have you checked that the headlight switch is working properly?
Open the hood, stand in front of the effected headlight, notice the two tabs sticking up behind the radiator support in back of the headlight assembly. These tabs are locks that hold the headlight assembly in place. Lift the tabs up and remove them. Now you can wiggle the headlight assembly out the front and remove the bulb. Reverse for assembly.
change the headlight switch it controls the running lights....$15 at autozone
The 1994 Chevrolet S10 has different headlight configurations. See related link below for variations. If sealed beam bulbs; H4666. If halogen; 9006 low-beam & 9005 high-beam.
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Stand in front of the headlight in question, with hood open notice two black tabs sticking up behind headlight bucket assembly. Remove the two tabs by lifting straight up. The headlight bucket assembly can now be wiggled out of the car and you can now remove the bulb socket from the assembly to replace the bulb. Reverse order for assembly.
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Open the hood, notice two black tabs sticking up behind each headlight assembly, remove the two tabs by wiggling and pulling straight up, the complete headlight assembly will now remove out the front, now you can release the lock and turn out the headlight socket and install the new bulb. Reverse procedure for installation.