Algebra-1

Question Analysis
This question assesses 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 is to use the negative reciprocal of the slope of the given line and the point-slope form of the line equation.

Key Concept Explanation
Perpendicular lines have slopes that are negative reciprocals of each other. The equation of a line in point-slope form is given by , where is the slope and is a point on the line.

Step-by-step Solution
1. Identify the slope of the given line: The slope of the line is . The slope of the perpendicular line is the negative reciprocal, which is .
2. Use the point-slope form of the line equation: Substitute , , and into the point-slope form:

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