Essay

Facility Design: Perpendicular Alignment Logic

A facility maintenance technician is mapping a new safety boundary on a coordinate grid. The existing boundary follows the horizontal line y=4y = -4. A new perpendicular fence must be installed that passes through a specific corner post located at the coordinates (4,2)(-4, 2).

Describe the step-by-step geometric reasoning required to determine the equation of the line for this new fence. In your description, identify the orientation of the new line and explain how the coordinates of the corner post dictate the final equation.

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Updated 2026-04-19

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