Questions & Answers about Jeg drikker et glas vin til maden.
Because jeg is the subject form, meaning I. It is the person doing the action.
- Jeg drikker ... = I drink / I am drinking ...
- Mig means me and is used as an object, not as the subject of a normal statement.
Drikker is the present tense of drikke (to drink).
A very useful thing about Danish is that the verb usually has the same form for all persons in the present tense:
- jeg drikker
- du drikker
- han/hun drikker
- vi drikker
So the -er here is not specifically because of jeg; it is just the normal present-tense form.