Well, one night, I couldn't sleep because of diarrhea problems, and I didn't want to wake my parents up. Couldn't go to the bathroom because of the same reason. No matter how many methods of sleep I tried, I couldn't go to sleep. Hours before dawn, I was like "screw it, might as well watch my favorite shows". I turned on the TV, but none of my favorite shows were on. Before I turned it off, I came across Adult Swim and it just so happens that it was showing Inuyasha at the moment. The second I saw it, I was intrigued because 1) the art style and 2) Inuyasha's dog ears. I watched the entire episode that night and I found myself watching more and more of it.
Weeks, maybe even months later (I can't remember for the life of me), I came across the word anime. Once I understood the term, I understood what Inuyasha was and I wanted to watch more of this "anime" that I was newly introduced to at the time.