This is the 31st most frequent Korean word.
가
The Korean word "가" can mean "go," a subject marker, or "family/house" depending on context.
In this sentence, '가' is the stem of the verb '가다,' which means 'to go.' It is used to indicate movement toward a destination.
나는 학교에 가.
I go to school.
Here, '가는' is a modifier form of '가다' that describes something (the path) that is being traveled by Cheolsu.
철수가 가는 길을 따라갔어.
I followed the path that Cheolsu was taking.
In this informal usage, '가' acts as a filler or emphasis particle, often used to make a question less direct or more casual.