A line passes through $(4,365)$, and the $y$-intercept of the line is on or between $1$ and $9$. What is the minimum possible slope of the line?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A line passes through $(4,365)$, and the $y$-intercept of the line is on or between $1$ and $9$. What is the minimum possible slope of the line?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
89
A line passes through $(4,365)$, and the $y$-intercept of the line is on or between $1$ and $9$. What is the minimum possible slope of the line?
train