Cook the linguine according to package instructions in a large pot of salted boiling water until al dente. Reserve 1/2 cup of the pasta water, then drain the pasta and set aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and red pepper flakes (if using) and sauté for about 1 minute, or until fragrant.
Pour in the white wine and bring to a simmer. Allow it to cook for about 2-3 minutes to reduce slightly.
Add the clams to the skillet, cover, and cook for 5-7 minutes, or until the clams open up. Discard any clams that do not open.
Stir in the cooked linguine and reserved pasta water, mixing well to combine. Season with salt and pepper to taste.
Remove from heat and stir in the chopped parsley. Serve immediately with lemon wedges on the side.