Which of the following equations represents a line that is parallel to the line given by the equation ?
Options
A
B
C
D
Answer & Analysis
Answer
C
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 slope-intercept form of a line is given by , where is the slope and is the y-intercept. For lines to be parallel, their slopes must be equal.
Step-by-step Solution
1. Identify the slope of the given line . The slope is .
2. Compare the slopes of the options:
- Option A: , the slope is .
- Option B:
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