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MathRevolution
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In the x-y plane, what is the slope of line K? 17 Jan 2017, 01:19
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76% (00:40) correct 24% (00:46) wrong based on 136 sessions

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In the x-y plane, what is the slope of line K?

1) Line K intersects with line equation y=-3x
1) Line K is parallel to line equation y=2x
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B
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In the x-y plane, what is the slope of line K? 17 Jan 2017, 05:46
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A is not sufficient as the line K can intersect another line y=-3x with multiple slopes.
B is sufficient as a line parallel to another line will have the same slope. Since it is parallel to Y=2x the slope of both the lines is 2 (general form is Y=mx+c. In this case c=0 and m=2). Hence B is sufficient
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In the x-y plane, what is the slope of line K? 17 Jan 2017, 06:47
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Nice exercise, thanks for sharing.
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In the x-y plane, what is the slope of line K? 19 Jan 2017, 01:27
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==> In case of 1), if it meets y=-x, the slope of line K cannot be decided in a unique way, which is not sufficient.
In case of 2), if they are parallel, the slope of line K is always 2, which is unique and sufficient.

Hence, the answer is B.
Answer: B
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In the x-y plane, what is the slope of line K? 17 Dec 2022, 04:25
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Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

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