Melissa said, "Also, I've never moved a fridge with an icemaker line before. I assume that I pull the fridge out a bit, shut off and disconnect the supply line, then pull it all the way out. (Unplugging it first, of course.)
Steve, where in her statement did she say she didn't have a shut off valve? BTW, a good solid fit on a compression or flared fitting does not require tape, pipe dope or anything else.