I think a slow drip is really and incorrect term, water will still freeze with a slow drip

Running a steady stream of water, not just a slow drip, is more effective at preventing frozen pipes during extreme cold. While a trickle helps, a continuous flow—such as a pencil-thin stream—keeps water moving through pipes, significantly reducing the risk of freezing, especially in vulnerable areas like exterior walls, attics, or garages. Plumbers recommend this approach when temperatures are below 20°F for three hours or more, or during power outages