Geometry

Question Analysis
This question tests the understanding of the relationship between the slopes of perpendicular lines and the application of the point-slope form of a line equation. The key concept is that the slopes of two perpendicular lines are negative reciprocals of each other, and the point-slope form can be used to find the equation of a line given a point and a slope.

Key Concept Explanation
For two lines to be perpendicular, the product of their slopes must be . If the slope of one line is , then the slope of the line perpendicular to it, , is given by . The point-slope form of a line equation is , where is a point on the line and is the slope.

Step-by-step Solution
1. Identify the given slope: The slope of the given line is .
2. Find the negative reciprocal: The negative reciprocal of is .
3. Determine the intersection point: Substitute into the given equation to find the corresponding -coordinate:

So, the intersection point is

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