Which of the following pairs of lines are parallel based on their slopes?
Options
A
Line 1: , Line 2:
B
Line 1: , Line 2:
C
Line 1: , Line 2:
D
Line 1: , Line 2:
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question tests the understanding of the Slopes of Parallel Lines Theorem, which states that if two non-vertical lines are parallel, then their slopes are equal.
Key Concept Explanation
The Slopes of Parallel Lines Theorem is expressed as: If , then . This means that to determine if two lines are parallel, we need to check if their slopes are equal.
Step-by-step Solution
1. Identify the slopes of each pair of lines:
- For Option A: Line 1: , slope . Line 2: , slope . Since , the lines are parallel.
- For Option B: Line 1: , slope . Line 2: , slope
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