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Find the equation of a line.
1. Its x and y intercept is 2 and -2 respectively.
2. The slope of the line is 1.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
  • 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 specific to the problem are needed.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the equation of a line.1. Its x and y intercept is 2 and -2 respe...
In statement 1, the x and y intercept is 2 and -2 respectively, hence the line passes through (2,0) and (0,-2). The slope is
(-2 - 0)/(2 - 0) = -1.
The equation is y/(x - 2) = -1 hence x = -x + 2.
The statement is sufficient.
In statement 2, the slope is 1. Since we are not given any point where the line is passing, the statement is insufficient. Thus, Statement (1) ALONE is sufficient but statement (2) is not sufficient.
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Most Upvoted Answer
Find the equation of a line.1. Its x and y intercept is 2 and -2 respe...
To find the equation of a line, we need to know either the slope and one point on the line or two points on the line.

Statement 1: The x and y intercepts are 2 and -2 respectively.
The x-intercept is the point where the line crosses the x-axis, which means the y-coordinate is 0. The y-intercept is the point where the line crosses the y-axis, which means the x-coordinate is 0. So we have two points: (2, 0) and (0, -2).

Using these two points, we can calculate the slope of the line:
slope = (change in y) / (change in x) = (-2 - 0) / (0 - 2) = -2 / -2 = 1

Since we now know the slope and one point on the line, we can write the equation of the line using the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Using the point (2, 0), we have:
y - 0 = 1(x - 2)
y = x - 2

Statement 2: The slope of the line is 1.
Knowing only the slope is not sufficient to determine the equation of the line because we still need a point on the line.

Combining both statements:
From statement 1, we know the slope is 1 and we have a point on the line (2, 0). Therefore, we can write the equation of the line as y = x - 2.

Since statement 1 alone is sufficient to answer the question, but statement 2 alone is not, the correct answer is (a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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Find the equation of a line.1. Its x and y intercept is 2 and -2 respectively.2. The slope of the line is 1.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?
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Find the equation of a line.1. Its x and y intercept is 2 and -2 respectively.2. The slope of the line is 1.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Find the equation of a line.1. Its x and y intercept is 2 and -2 respectively.2. The slope of the line is 1.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the equation of a line.1. Its x and y intercept is 2 and -2 respectively.2. The slope of the line is 1.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)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 specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?.
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