Question

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

Answer 1

Answer: 89

Explanation:

Let the equation of the line be y=mx+b. Then,
`365=4m+b`.

The y-intercept is
`b=365-4m`.

From, the given information,

`1 \leq 365-4m \leq 9\\\\-9 \leq 4m-365 \leq -1\\\\356 \leq 4m \leq 364\\\\89 \leq m \leq 91`

So, the minimum possible slope is 89.