Question #6437706Single Choice
Geometry
Question
Which equation represents a line that is parallel to the line?
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.
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 the line , the slope . To find a line parallel to this, we need another line with the same slope.
The slope-intercept form of a line is given by , where is the slope and is the y-intercept. For the line , the slope . To find a line parallel to this, we need another line with the same slope.
Step-by-step Solution
1. Identify the slope of the given line: The slope of the line is .
2. Convert each option to slope-intercept form and identify the slope:
Option A
1. Identify the slope of the given line: The slope of the line is .
2. Convert each option to slope-intercept form and identify the slope:
Option A
Click "Show Answer" to reveal the answer and analysis
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