Answer: 89
Step-by-step explanation:
Let the equation of the line be y=mx+b. Then, [tex]365=4m+b[/tex].
The y-intercept is [tex]b=365-4m[/tex].
From, the given information,
[tex]1 \leq 365-4m \leq 9\\\\-9 \leq 4m-365 \leq -1\\\\356 \leq 4m \leq 364\\\\89 \leq m \leq 91[/tex]
So, the minimum possible slope is 89.