GMAT Exam  >  GMAT Questions  >  If line d in the coordinate plane has the equ... Start Learning for Free
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?
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.
Free Test
Community Answer
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.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev