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

interesar

Sabía que nunca te interesarías por mí.
I knew you could never care for me.
Quería saber si te interesarías en una inversión.
I wanted to see if I could interest you in an investment.
Si no fuera buena, no te interesarías.
If it wasn't good, you wouldn't be doing it.
Sabes, si no fueras mi papá, creo que me interesarías.
You know, if you weren't my dad I think I could fancy you.
Nunca te interesarías en mi.
You'd never be interested in me.
El problema es que jamás te interesarías realmente en el trabajo... o en la comida.
Problem is you were never really interested in the work... or the meal.
Nunca te interesarías en una muchacha como yo.
You wouldn't be interested in me.
Sabes, si no fueras mi papá, creo que me interesarías.
That's very good of you, my dear.
Tú no me interesarías si esto fuera i Am Legend y fueras el último hombre vivo.
You know, I wouldn't be interested in you... if this was I Am Legend and you were the last man on earth.
Porque sabes que podrías tenerme lo cual hace que no estés interesado y eso significa que no me interesarías, aunque me interesaras.
Because you know you could have me, which makes you not interested, and that means I wouldn't be interested in you even if I were.
Olvídalo, sé que nunca te interesarías en mí.
Forget it, I know you'd never be interested in anything.
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