Add the carrot, onion, garlic, tomato paste, diced tomatoes, thyme, oregano, ¾ teaspoon salt, and ¼ teaspoon pepper to a slow cooker and mix together. Add the trimmed pork and give everything another few stirs.
Cover and on low for 7 to 8 hours or on high for 5 to 6 hours.
Cook the linguine according to the package directions (fresh pasta usually only takes a couple of minutes to cook.) Meanwhile, shred the pork and stir in the shredded pieces with the rest of the vegetables and cooking liquid. Drain the pasta and add it to the ragù. Stir to combine. Serve with grated Parmesan if desired.
Recipe by 2 Sisters 2 Cities at https://www.2sisters2cities.com/2013/03/slow-cooker-pork-ragu-with-fresh-pasta/