Essay

Facilities Layout: Recalling Perpendicular Line Properties on a Grid

A facilities maintenance technician is mapping out a new wiring route on a coordinate grid for an office renovation. The main power cable lies along the horizontal line y=5y = -5. The technician needs to run a new branch conduit perpendicular to the main cable such that it passes through a junction box located at the point (-4, -5).

In a short essay, recall and state the geometric definitions and rules needed to identify the equation of the new branch conduit. Specifically, your explanation must address the following points:

  1. Identify the geometric orientation (horizontal or vertical) of the given line y=5y = -5.
  2. Recall the relationship between perpendicular lines in a coordinate plane to identify the orientation (horizontal or vertical) of the new conduit line.
  3. State the general algebraic form of equations representing lines with this perpendicular orientation.
  4. Conclude by stating the exact equation of the new branch conduit passing through (-4, -5) based on these recalled facts.

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Updated 2026-06-05

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