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In the xy-plane, line L has equation y=mx+b, where 1<m<

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by Max@Math Revolution » Wed Jul 04, 2018 12:40 am

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[GMAT math practice question]

In the xy-plane, line L has equation y=mx+b, where 1<m<5. If line L passes through (1,1), which of the following points also lies on line L?

A. (2, -1)
B. (2,0)
C. (2,1)
D. (2,2)
E. (2,3)
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by Max@Math Revolution » Fri Jul 06, 2018 12:31 am
=>

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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