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Math & AlgebraGenerated accuracy model review: 2026-05-06
Slope Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- 1. **Slope (m):** $(y_2 - y_1) / (x_2 - x_1)$ 2. **Y-Intercept (b):** $y_1 - (m \times x_1)$ 3. **Equation:** $y = mx + b$
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- x1: 1
- y1: 2
- x2: 5
- y2: 10
Expected outputs
- Slope (m): 2
- Equation: y = 2x + 0
- Angle (°): 63.43
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- The two points are in the same 2D coordinate plane.
- A vertical line has undefined slope and is reported as Infinity.
- For non-vertical lines, the calculator reports the line in slope-intercept form.
Unit handling
- x1 accepts numeric values.
- y1 accepts numeric values.
- x2 accepts numeric values.
- y2 accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current slope-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Slope Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.