Slow leaks on a single wheel usually come down to three things, and the valve stem is genuinely the cheapest fix - so that's worth testing first with soapy water around the stem itself to see if bubbles form there. If that's not it, the other answers cover the main suspects pretty well.
What I'd add is a practical step: once you've ruled out the stem and done the soapy water test on the tire, try deflating completely and inspecting the rim where it meets the tire. Sometimes you get corrosion or debris sitting on the bead seat that prevents a proper seal, and you might not see it just by looking. If the rim looks grimy or oxidized, a quick clean with a wire brush can actually fix the leak without any new parts. Have you had a chance to do the soapy water test yet, or are you still at the visual inspection stage?