Two lines are given by the equations and . Are these lines parallel?
Options
A
Yes, because the slopes are the same.
B
No, because the y-intercepts are different.
C
Yes, because the y-intercepts are the same.
D
No, because the slopes are different.
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question tests the ability to determine if two lines are parallel by comparing their slopes. The lines are given in slope-intercept form, , where is the slope and is the y-intercept.
Key Concept Explanation
The Slopes of Parallel Lines Theorem states that if two non-vertical lines are parallel, then their slopes are equal. In this case, we need to compare the slopes of the given lines.
Step-by-step Solution
1. Identify the slopes of both lines. For the line , the slope
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