Which of the following pairs of lines are parallel?
Options
A
and
B
and
C
and
D
and
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question tests the understanding of the concept that two lines are parallel if and only if their slopes are equal.
Key Concept Explanation
The slope of a line in the form is given by . Two lines are parallel if their slopes are equal. ()
Step-by-step Solution
1. Identify the slopes of each pair of lines:
For option A: and
Slope of the first line:
Slope of the second line:
Since , these lines are parallel.
For option B: and
Slope of the first line:
Slope of the second line:
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