Question #6437705Single 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 to be parallel, it must have the same slope as the given line.
The slope-intercept form of a line is given by , where is the slope and is the y-intercept. For the line to be parallel, it must have the same slope as the given line.
Step-by-step Solution
1. Identify the slope of the given line: The given line is . The slope is .
2. Convert each option to slope-intercept form and compare the slopes:
Option A
(slope = )
Option B
1. Identify the slope of the given line: The given line is . The slope is .
2. Convert each option to slope-intercept form and compare the slopes:
Option A
(slope = )
Option B
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