If \( \alpha, \beta \) are natural numbers such that \(\begin{array}{r}100^{\alpha}-199 \beta=(100)(100)+(99)(101) +(98)…

If \( \alpha, \beta \) are natural numbers such that \(\begin{array}{r}100^{\alpha}-199 \beta=(100)(100)+(99)(101) +(98)(102)+\ldots \ldots+(1)(199)\end{array}\) ,then the slope of the line passing through \( (\alpha, \beta) \) and origin is :

[JEE Main 2021, 18 Mar (Shift 1)]