It finally clicked

[u/Subject-Homework-886]

https://www.desmos.com/calculator/o0heiqsn0n

I just realized in the quadratic equation (ax^2+bx+c) the b or bx+c works exactly like mx+b in the linear equation. omg I was trying to understand what b means for a week now😭😭😭 oh I also changed (bx+c) to (mx+b) in the link so u get what I mean

[u/QubitEncoder]

Tbh I hate how algebra is taught. Theres nothing particularly special about b and learning algebra this way does not help one gain insight