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As the following figure shows, the line y = mx divides trian

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by Max@Math Revolution » Wed Jan 01, 2020 11:01 pm
[GMAT math practice question]

As the following figure shows, the line y = mx divides triangle ABO evenly. What is the value of m?

A. - 1/3
B. - 1/4
C. - 2/5
D. - 3/4
E. - 3/5

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by Max@Math Revolution » Sat Jan 04, 2020 11:37 pm
=>

We have points A(0, 3) and B(-4, 0).
Point C must be the midpoint of AB.
Then we have point C(-2, 3/2).
The slope of OC is (3/2) / (-2) = -(3/4).

Therefore, D is the answer.
Answer: D
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