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=>

When we plug in the values \(x = 1\) and \(y = 1\), we obtain \(1 = m + b\) or \(b = 1 – m\).
All answer choices have x-coordinates of 2. Plugging 2 in for the variable \(x\) yields
\(y = 2m + b = 2m + 1 – m = m + 1.\)
Since \(1 < m < 5\), we must have \(2 < m + 1 < 6\) and \(2 < y < 6.\)
Thus, \((2,3)\) is the only point that can lie on the line.

Therefore, the answer is E.
Answer: E
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One point is given (1,1)

Let's look at the options and calculate slopes (m) for each case.

Only (2,3) satisfies the condition 1 < m < 5.

Option: E
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Hello from the GMAT Club BumpBot!

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