Would you check in on Facebook in exchange for free Wi-Fi at a hotel, restaurant, or retailer? That’s the pitch Facebook has cooked up to hook its social network into companies big and small. Facebook and Cisco are jointly announcing Wednesday that they’ve partnered to bring the social Wi-Fi option to more businesses after a small but fruitful pilot of the system in around 1,000 small and medium-sized businesses. For the average restaurant diner, airport goer, or superstore shopper, the arrangement should mean they’ll soon find Facebook Wi-Fi at more of the places they visit regularly. For Facebook, the Wi-Fi-with-check-in initiative is part of a broader plan to attack the local market by encouraging merchants to set up and maintain Pages on the social network. Participating merchants will get additional distribution with each check-in, receiving exposure that could help bring in more customers or inspire more “likes.”