Question #6437707Single 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. To determine if lines are parallel, we need to compare their slopes.
The slope-intercept form of a line is given by , where is the slope and is the y-intercept. To determine if lines are parallel, we need to compare their slopes.
Step-by-step Solution
1. Convert the given line equation to slope-intercept form:
The slope of the given line is .
2. Compare the slopes of the given options with the slope of the given line:
Option A:
1. Convert the given line equation to slope-intercept form:
The slope of the given line is .
2. Compare the slopes of the given options with the slope of the given line:
Option A:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!