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07 Feb 2020, 06:14
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
53% (01:03) correct
47%
(01:05)
wrong
based on 167
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When line k, expressed by the equation y = mx + b, is graphed on a coordinate axis, does k intersect the origin?
(1) m = 0
(2) b > 0
(1) m = 0
(2) b > 0
09 Feb 2020, 02:26
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Bunuel
A line will intersect the origin ONLY when its y-intercept is zero
(1) m = 0
--> The line k is parallel to x-axis and we cannot conclude anything about the y-intercept --> Insufficient
(2) b > 0
--> Since the y-intercept is positive, we can conclude that line k does not pass through the origin
--> A Definite NO --> Sufficient
Option B
ajaygaur319
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09 Feb 2020, 06:34
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Bunuel
if the line y = mx + b passes through origin then, putting (0, 0) in the equation:
b = 0
1 --> m = 0, in this case y = b which cannot tell if the line is passing through origin, hence not sufficient
2 --> b > 0, This suggests that the y-intercept of the line is > 0 but this cannot tell if the line is passing through origin. e.g. y = 2x + 1 doesn't passed though origin. Hence not sufficient
Combining both statements, y = b and b > 0, hence the line is parallel to x-axis with b > 0 and the line cannot pass through origin. Hence, C is the correct answer.
