Cook linguine to desired doneness as directed on package. Drain; cover to keep warm.
Meanwhile, heat oven to 450°F. Spray 15x10x1-inch baking pan with nonstick cooking spray. In large bowl, combine tomatoes, eggplant, bell pepper, zucchini and garlic. Toss with 2 tablespoons of the oil, basil, salt and pepper. Place vegetables on sprayed pan.
Bake at 450°F. for 12 to 15 minutes or until vegetables are tender and lightly browned.
Place cooked linguine in serving bowl. Add remaining 1 tablespoon oil and roasted vegetables; toss gently to mix. Sprinkle with cheese.