Line L in the xy- plane contains points from each of the Quadrants I, III, and IV, but no points from Quadrant II. Which of the following must be true?
Correct answer: C. The slope of line L is positive.
- A. The slope of line L is zero.
- B. The slope of line L is undefined.
- C. The slope of line L is positive.
- D. The slope of line L is negative.
Explanation
The correct answer is Option C. A positive slope enables the line to rise from left to right, intersecting Quadrants I, III, and IV while avoiding Quadrant II. This aligns with the given criteria. Option A is incorrect as a horizontal line (slope of zero) cannot pass through three quadrants. Option B is wrong because a vertical line (undefined slope) would intersect only two quadrants. Option D is incorrect because a negative slope would not satisfy the requirement of avoiding Quadrant II.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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