Question #6437710Single Choice
Geometry
Question
Which of the following lines is parallel to a line with a slope of 0?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question tests the understanding that a line with a slope of 0 is a horizontal line. Parallel lines have the same slope, so the correct answer must also be a horizontal line.
This question tests the understanding that a line with a slope of 0 is a horizontal line. Parallel lines have the same slope, so the correct answer must also be a horizontal line.
Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. A line with a slope of 0 is a horizontal line, and any other horizontal line will also have a slope of 0.
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. A line with a slope of 0 is a horizontal line, and any other horizontal line will also have a slope of 0.
Step-by-step Solution
1. Identify the given slope: The slope of the line is 0, which means it is a horizontal line.
2. Determine the form of a horizontal line: A horizontal line has the equation , where is a constant.
3. Evaluate the options:
Option A: (This is not a horizontal line; it has a slope of 3.)
Option B:
1. Identify the given slope: The slope of the line is 0, which means it is a horizontal line.
2. Determine the form of a horizontal line: A horizontal line has the equation , where is a constant.
3. Evaluate the options:
Option A: (This is not a horizontal line; it has a slope of 3.)
Option B:
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