Essay

Solar Array Layout Slope Rules Memo

An apprentice drafting technician is preparing a digital site plan for a solar array installation on a standard coordinate grid. The primary solar racking line is represented by the linear equation y = - rac{3}{4}x + 12. To complete the blueprint, the technician needs to draft a brief technical guide explaining how to find the equations of both a parallel secondary line and a perpendicular conduit path that pass through a specific grid coordinate.

Write a short technical explanation that details the following mathematical principles and steps the technician must recall to perform these calculations:

  1. State the rule for finding the slope of the parallel secondary line relative to the primary line's slope.
  2. State the rule for finding the slope of the perpendicular conduit path relative to the primary line's slope.
  3. Describe the standard algebraic steps to write the final linear equation of either line once the new slope and coordinate point are known.

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Updated 2026-06-17

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