Which line is perpendicular to the line passing through pointsand?
Options
A
The line passing through pointsand
B
The line passing through pointsand
C
The line passing through pointsand
D
The line passing through pointsand
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question assesses the understanding of
perpendicular lines and their slopes. The main focus is on recognizing that the
product of the slopes of perpendicular lines equals -1.
Key Concept Explanation
The slope of a line passing through two points and is given by . Calculate the slope of the given line and compare it with the slopes of the other lines.
Step-by-step Solution
1. Calculate the slope of the given line: Slope = .
2. The given line has a slope of .
The negative reciprocal of is
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.