stevenkhaauhs4173 stevenkhaauhs4173
  • 10-08-2022
  • Mathematics
contestada

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

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Medunno13
Medunno13 Medunno13
  • 20-08-2022

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.

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