Linear Interpolation
Result
Interpolated y 40.000000
Interpolate a value between two known data points.
Formula
y = y₁ + (x−x₁)(y₂−y₁)/(x₂−x₁)
- y = y₁ + (x−x₁)(y₂−y₁)/(x₂−x₁)
Linear Interpolation Example
Inputs
- x₁: 0
- y₁: 0
- x₂: 10
- y₂: 100
- x (interpolate at): 4
Points (0,0) and (10,100): at x=4, y = 0 + (4−0)×(100−0)/(10−0) = 40
Frequently asked questions
How is Linear Interpolation calculated?
y = y₁ + (x−x₁)(y₂−y₁)/(x₂−x₁)