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If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?
(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).
(2) Line d is parallel to the line with equation y=(2–m)x+b–4.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
- d)EACH statement ALONE is sufficient to answer the question asked;
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If line d in the coordinate plane has the equation y=mx+b, where m and...
The equation of a line in the coordinate plane is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
Statement (1) tells us that line d intersects the line y = 6x + 2 at the point (1, 8). We can use this information to find the slope of line d. The slope of the line y = 6x + 2 is 6, so the slope of line d will also be 6.
Statement (2) tells us that line d is parallel to the line y = 2x. Since parallel lines have the same slope, the slope of line d will be 2.
However, these statements do not provide enough information to determine the value of m with certainty. Therefore, the correct answer is (E) The statements TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Statement (1) tells us that line d intersects the line y = 6x + 2 at the point (1, 8). We can use this information to find the slope of line d. The slope of the line y = 6x + 2 is 6, so the slope of line d will also be 6.
Statement (2) tells us that line d is parallel to the line y = 2x. Since parallel lines have the same slope, the slope of line d will be 2.
However, these statements do not provide enough information to determine the value of m with certainty. Therefore, the correct answer is (E) The statements TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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If line d in the coordinate plane has the equation y=mx+b, where m and...
Note that the slope of a line with equation y=mx+b ism.
(1) A line passing through the point (1, 8) can have any value for its slope, so it is impossible to determine the slope of line d.
For example, the line y=x+7 intersects y=6x+2 at (1, 8) with a slope of 1, while the line y=2x+6 intersects y=6x+2 at (1, 8) with a slope of 2; NOT sufficient.
(2) Parallel lines have the same slope, and it is possible to solve for the slope as m=2–m, 2m=2, and m=1; SUFFICIENT.
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If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer?
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If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer?.
If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If line d in the coordinate plane has the equation y=mx+b, where m and b are constants, what is the slope of line d?(1) Line d intersects the line with equation y=6x+2 at the point (1, 8).(2) Line d is parallel to the line with equation y=(2–m)x+b–4.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'B'. Can you explain this answer?.
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