Hello All,
Please help in answering the below qs from GMAT Prep:
Quadrant
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- GMATGuruNY
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Statement 1:
A line with a negative slope MUST pass through quadrants II and IV.
Since line k has a negative slope, it must pass through quadrant II.
SUFFICIENT.
Statement 2:
The blue version of line K passes through quadrant II, while the red version does not.
INSUFFICIENT.
The correct answer is A.
A line with a negative slope MUST pass through quadrants II and IV.
Since line k has a negative slope, it must pass through quadrant II.
SUFFICIENT.
Statement 2:
The blue version of line K passes through quadrant II, while the red version does not.
INSUFFICIENT.
The correct answer is A.
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Here are two similar DS questions involving lines in the coordinate plane:
- https://www.beatthegmat.com/xy-plane-t272618.html
- https://www.beatthegmat.com/coordinate-g ... 77659.html
Cheers,
Brent
- https://www.beatthegmat.com/xy-plane-t272618.html
- https://www.beatthegmat.com/coordinate-g ... 77659.html
Cheers,
Brent
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CONCEPT:
1) Every line with the Negative slope always passes through Quadrants II and IV
2) Every line with the Positive slope always passes through Quadrants I and III
3) Parallel Lines have EQUAL SLOPES [m1 = m2]
4) Perpendicular lines have product of their slopes as -1 [i.e. m1 x m2 = -1]
Keeping in mind the above concept
Statement 1) Negative slope therefore SUFFICIENT
Statement 2) Y-intercept alone has nothing to do with slope of the line therefore INSUFFICIENT
Answer: Option A
1) Every line with the Negative slope always passes through Quadrants II and IV
2) Every line with the Positive slope always passes through Quadrants I and III
3) Parallel Lines have EQUAL SLOPES [m1 = m2]
4) Perpendicular lines have product of their slopes as -1 [i.e. m1 x m2 = -1]
Keeping in mind the above concept
Statement 1) Negative slope therefore SUFFICIENT
Statement 2) Y-intercept alone has nothing to do with slope of the line therefore INSUFFICIENT
Answer: Option A
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