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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