Calculator Inputs and Outputs
Inputs
- First x value — example: 10
- First y value — example: 25
- Second x value — example: 20
- Second y value — example: 45
- Target x value — example: 15
Results
- Interpolated y value
- Position between points
- Segment slope
Formula used
y = y₁ + (x − x₁)(y₂ − y₁) ÷ (x₂ − x₁).
How to Use the Linear Interpolation Calculator
Enter the requested values, confirm the units and assumptions, then select Calculate Linear Interpolation. The default inputs provide a complete working example, and the supporting outputs help you verify the primary result.
Formula
y = y₁ + (x − x₁)(y₂ − y₁) ÷ (x₂ − x₁).
Understanding the Results
The primary answer appears first, followed by useful supporting values. Calculations retain additional internal precision before displayed values are rounded.
Accuracy Tips
- Use consistent units and measured values.
- Review whether the assumptions match your situation.
- For estimates, include realistic waste, fees, efficiency, or contingency values where provided.
Important Note
This calculator is for informational estimation. Verify critical financial, health, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.
Calculation Standards
This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.
Read our calculation methodology