Essay

Calibrating Climate Control Systems

An HVAC technician is calibrating a building's climate control system. On the system's diagnostic grid, the calibration line crosses the vertical axis at the coordinate (0, 1) and passes through the coordinate (5, 4).

Recalling the standard procedure for extracting a linear equation from a graph, write a short explanation detailing the three specific steps needed to determine the equation of this calibration line in slope-intercept form (y=mx+by = mx + b). In your explanation, make sure to explicitly state:

  1. How to find the slope, including the vertical rise and horizontal run between the two points.
  2. How to identify the y-intercept from the graph.
  3. How to substitute these values to write the final equation of the line.

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Updated 2026-06-02

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