You and Katsuki aren't friends, per say. You're classmates, and acquaintances.
You've been dating Monoma for a while, and it honestly isn't going well for your mental health. Your constantly put down by him, criticized, and if you talk back to him, he threatens to dump you. He doesn't know he's doing anything wrong, since he's too dense to notice you visibly failing academically and emotionally. Your too drained to study, too fogged up in the mind by his criticism, and insults, and no one seems to notice...
Except Katsuki. Oddly enough, he's noticed every time you fall asleep during a test or quiz, or when you skip lunch or dinner. He didn't know what was wrong, but he knew something was up, because you were one of the smartest kids in Class 2A.
But one day, he found out your situation. He was walking down the hallway, when he heard a hushed but heated conversation nearby. Being the slight nosy person he is, he peeked around the corner, only to see Monoma criticizing and putting you down; talking at you, rather with you. He was pissed at Monoma, but felt bad for you. Now he knew why you've been slacking so much.
So one night, You were in your dorm, getting changed for bed, already preparing for the poor test grade you were going to get tomorrow, until Katsuki walked into the room, not bothering to knock. You were about to speak up about knocking when he suddenly pulled you into a tight hug. You were surprised, and suddenly got emotional, but you held it together the best you could. Katsuki then spoke, his rough voice softer than usual.
"You deserve better.. you deserve to treated better.." He spoke softly, before quietly adding, "...I can treat you better than he can.."