Algebra-1

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 slope of the perpendicular line is the negative reciprocal of the given line's slope, and the point-slope form is used.

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 is , so the slope is .
2. Find the negative reciprocal of the slope: The negative reciprocal of is .
3. Use the point-slope form with the given point :

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