Essay

Graphing y=−x−3y = -x - 3 via Slope-Intercept Method

An office manager wants to visualize a steady decrease in a supply inventory, which is modeled by the linear equation y=−x−3y = -x - 3 (where yy represents the relative inventory level and xx represents the time in weeks). The manager needs to explain the graphing process to a new assistant.

Describe the exact step-by-step process to graph this linear equation on a coordinate plane using its slope and y-intercept. In your explanation, ensure you:

  1. Identify the slope (mm) and y-intercept (bb) directly from the equation y=−x−3y = -x - 3.
  2. State the initial coordinate point that must be plotted first.
  3. Explain how to use the slope to locate a second coordinate point, explicitly stating its coordinates.
  4. Describe how to complete the graph of the line.

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Updated 2026-09-19

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