EngineeringToolkit

Linear Interpolation Formula

Estimates a value between two known data points using a straight-line relationship.

Formula

y = y₁ + (x - x₁) × (y₂ - y₁)/(x₂ - x₁)

Discipline: Mathematics. Result unit: dimensionless.

Variables and units

  • y — Interpolated Value: Estimated dependent value
  • x — Target Position: Independent value at which to interpolate
  • x₁ — First X Value: Independent value of the first known point
  • y₁ — First Y Value: Dependent value of the first known point
  • x₂ — Second X Value: Independent value of the second known point
  • y₂ — Second Y Value: Dependent value of the second known point