Geometry

Question Analysis
This question tests the ability to find the equation of a line that is perpendicular to a given line and passes through a specific point. We must first determine the slope of the given line, find the slope of the perpendicular line, and then use the point-slope form to write the equation.

Key Concept Explanation
The slope of a line in the form can be found by rearranging it into the slope-intercept form . For two lines to be perpendicular, the product of their slopes must be -1. The point-slope form of a line is , where is the slope and is a point on the line.

Step-by-step Solution
1. Rearrange the given equation to the slope-intercept form :


The slope of the given line is

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