Strip the ends of the wires and connect them to the fixture. Or more sheathing visible inside the box.
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Add light to circuit. From the switch new 2 wire cable is run to the new light location. Choose a place for the fixture install an electrical box and run a cable between the new fixture and the existing one. There are various circumstances where it would be convenient to add another light to a circuit and connect that light directly to an existing light switch. The tester wont light if the correct breaker is turned off. Wiring a new switch and light from an outlet. The switch comes first in the new part of the circuit and new 2 wire cable is run to it from the outlet.
Adding a light to a circuit an end of run fixture is one that goes after the existing fixture in the circuit. Start by mounting the fixture strap to the box. Touch the remaining prong from the tester to any metal on the electrical box or switch. Remove the screws holding the wall plate to the switch on the circuit. In this diagram power is taken from an existing wall outlet for a new switch and light fixture. Of sheathing from the wires and push the cable through the knockout leaving 14 in.
At the switch cut the cable about 12 in. Touch a prong from a two prong electrical tester to a terminal screw holding a black wire to the switch. Make sure the cable you use is the same gauge as the one powering the existing fixture. Examples include adding lighting underneath kitchen wall cabinets where the existing switch will be at the exact height of the new lighting or installing an outside light by routing the cable directly through the back of an existing switch box to the outside.