The word interesabas is the imperfect form of interesar in the second person singular. There are other translations for this conjugation.
See the full interesar conjugation

interesar

¿Se dio cuenta de por qué te interesabas en ella?
Did she finally realize why you were interested in her?
No sabía que te interesabas en escribir libros para niños.
I never knew you were interested in writing children's books.
No sabía que te interesabas por esta clase de cosas, George.
I didn't know you went in for this kind of thing, George.
Oogie, no sabía que te interesabas por mi.
Oh, Oogie, I didn't know you cared for me.
Dijiste que te interesabas por las víctimas de esta guerra.
You say you're interested in the innocent victims in this war. I am.
Entonces, ¿por qué le interesabas tú?
And why was he so interested in being with you?
Tal vez no me interesabas entonces.
Maybe I didn't fancy you then.
Te dije que me interesabas.
I told you that I was interested in you.
Antes no te interesabas por mis cosas.
You haven't always wanted to know things about me.
¿Te dijo que no le interesabas?
Did he say he wasn't interested in you?
Solo me interesabas tú.
I was only interested in you.
¿Quién diría que te interesabas tanto por la política?
I didn't know you cared so much about politics.
Yo no podía resistirlo y ahora resulta que solo te interesabas por el dinero.
You knew I couldn't resist it. Now it turns out all you're interested in is the money.
Antes no te interesabas tanto por mí.
I wasn't so important for you until now.
Se notaba que a Justin le interesabas meses antes de que te pidió a salir.
I could tell that Justin was interested in you months before he asked you out.
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