Verb conjugation of "slam" in English

I bought the ticket very quickly and ran to the gate. A stewardess was waiting for me and waved. She shouted that I should hurry up. I ran as fast as I could and entered the gate leading to the plane.
I had a few problems with my Mac. I guess I will have to buy a new one in the near future. I have already found the right product, and I will soon order it from the local hardware dealer.
I live in the center of Rome, but I prefer the outskirts. I don't love the center but the old part of the city is very charming. There are however a lot of advantages in the city, especially for young people.