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Difficulty:
5%
(low)
Question Stats:
90% (00:48) correct
10%
(01:03)
wrong
based on 61
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In the xy-plane, is the slope of line k positive?
(1) The y-intercept of line k is –2.
(2) The x-intercept of line k is 3.
Source: GMAT Prep [Official Practice Exam 3]
(1) The y-intercept of line k is –2.
(2) The x-intercept of line k is 3.
Source: GMAT Prep [Official Practice Exam 3]
19 Jan 2024, 12:19
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In the xy-plane, is the slope of line k positive?
We can find the slope line k using an equation of line k, the coordinates of two points on line k, or information about a relationship between line k and the x or y axis or another line or shape.
(1) The y-intercept of line k is –2.
This is information on just one point on line k. Line k could have infinite different slopes and pass through point (0, -2) on the y axis.
Insufficient.
(2) The x-intercept of line k is 3.
This is information on just one point on line k. Line k could have infinite different slopes and pass through point (3, 0) on the x axis.
Insufficient.
Statements (1) and (2) combined
The information provided by the two statements indicates that line k passes through the two points (0, -2) and (3, 0). Using this information, we could calculate the slope of line k.
Though we won't calculate the slope because this question is a DS question, we can see that we have sufficient information to answer the question.
Sufficient.
Correct Answer
We can find the slope line k using an equation of line k, the coordinates of two points on line k, or information about a relationship between line k and the x or y axis or another line or shape.
(1) The y-intercept of line k is –2.
This is information on just one point on line k. Line k could have infinite different slopes and pass through point (0, -2) on the y axis.
Insufficient.
(2) The x-intercept of line k is 3.
This is information on just one point on line k. Line k could have infinite different slopes and pass through point (3, 0) on the x axis.
Insufficient.
Statements (1) and (2) combined
The information provided by the two statements indicates that line k passes through the two points (0, -2) and (3, 0). Using this information, we could calculate the slope of line k.
Though we won't calculate the slope because this question is a DS question, we can see that we have sufficient information to answer the question.
Sufficient.
Correct Answer
