Essay

Graphing a Retail Storage Model Using Intercepts

A retail inventory manager is analyzing a storage space allocation model represented by the linear equation x+3y=6{}-x + 3y = 6, where yy represents premium display units and xx represents standard storage bins. To present this model to the store's regional director, the manager needs to construct a graph of this relationship on a coordinate plane using the intercept method.

Write a response in which you recall and explain the step-by-step process the inventory manager must follow to graph this specific line. In your response, make sure to:

  1. Explain how to evaluate the xx-intercept and the yy-intercept, including the algebraic substitutions required and the resulting coordinate points for both.
  2. Explain how to identify a third solution point as a check, specifically using x=3x = -3 in your calculations, and state the coordinates of this point.
  3. Describe the final steps to plot these three points on a coordinate grid and draw the line representing the storage model.

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Updated 2026-06-03

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