Geometry

Question Analysis
This question tests the understanding of the slopes of parallel lines. We need to calculate the slopes of the lines formed by the given points and determine which pairs have equal slopes.

Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. The slope of a line passing through points and is given by .

Step-by-step Solution

1. Calculate the slope of :

For points A(7, 15) and B(2, 19), using the slope formula, we have .

2. Calculate the slope of :

For points C(2, -5) and D(-5, -9), .

3. Calculate the slope of :

For points A(7, 15) and C(2, -5),

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