ISEE Quantitative Comparisons Question 140: Answer and Explanation

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Question: 140

1.

Line p is the graph of y = 2x – 2.
Line q is perpendicular to line p.

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: B

Explanation:

The answer is B

The slope of a line perpendicular to another line is the negative reciprocal of the other line's slope. Slope is represented by m in the equation y = mx + b. In this case, the slope of line p is 2. Thus, the slope of line q is -.

Reading left to right, a positive slope proceeds up, and a negative slope proceeds down. Thus, the slope of line q is negative. Column B (positive) is greater.

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