2)kathy(is taking/takes) her dog for a walk at the moment.3)i(hate/am hating)walking to school every day.4)the mechanic(doesn't sit/ isn't sitting) in the garden now.he's fixing the car.5)(does the teacher write / is the teacher writing) on the board at the moment? 6) helen(wants/is wanting) to become an artist.7) jack(doesn't like / isn't liking) chocolate.

2)Kathy is talking her dog for a walk at the moment.3) I hate walking to school every day.4)The mechanic isn't sitting in the garden now.He's fixing the car.5) Is the teacher writing on the board at the moment?6) Helen wants to become an artist.7) Jack doesn't like chocolate.

2)is talking, т. к это происходит сейчас (at the moment)
3) hate глаголы чувств без ing всегда употребляют и ещё постоянное действие (еvery Day)
4)isn't sitting, т. к действие сейчас (now)
5)is the teacher writing, т. К опять же сейчас
6) wants опять же. Глаголы чувств и состояний
7)doesn't like, т.к глагол чувств и состояния