📊 Linear Interpolation Calculator
Interpolate values between two points
Point 1 (x₁, y₁)
Point 2 (x₂, y₂)
x must be between x₁ and x₂
How to Use This Calculator
Enter Two Points
Input coordinates (x₁, y₁) and (x₂, y₂) of two known points.
Enter Interpolation Point
Input the x-coordinate where you want to interpolate (must be between x₁ and x₂).
Calculate
Press "Calculate Interpolation" to find the interpolated y-value.
Formula
y = y₁ + (y₂ - y₁)(x - x₁)/(x₂ - x₁)
where x₁ ≤ x ≤ x₂ for interpolation
Example: Points (1, 2) and (3, 6), interpolate at x = 2
y = 2 + (6 - 2)(2 - 1)/(3 - 1) = 2 + 4×1/2 = 4
About Linear Interpolation Calculator
The Linear Interpolation Calculator estimates values at points between two known points using linear interpolation. It assumes a straight line between the two points.
When to Use This Calculator
- Data Analysis: Fill gaps in data between known points
- Engineering: Estimate values from tables or charts
- Mathematics: Interpolate function values
- Science: Estimate measurements between data points
Frequently Asked Questions
What is linear interpolation?
Linear interpolation estimates values between two known points by assuming a straight line. Formula: y = y₁ + (y₂ - y₁)(x - x₁)/(x₂ - x₁).
What's the difference from extrapolation?
Interpolation estimates values between x₁ and x₂. Extrapolation estimates values outside this range (before x₁ or after x₂), which is less reliable.