The equation of a line that is perpendicular to the line and passes through the point is.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the equation of a line that is perpendicular to a given line and passes through a specific point. The key concepts are the slope of perpendicular lines and the point-slope form of a line equation.
Key Concept Explanation
Perpendicular lines have slopes that are negative reciprocals of each other. The point-slope form of a line equation is , where is the slope and is a point on the line.
Step-by-step Solution
1. Identify the slope of the given line: The equation of the given line is . The slope (m) is .
2. Find the negative reciprocal of the slope: The negative reciprocal of is .
3. Use the point-slope form of the line equation: . Substituting
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