Calculus & Numerical Methods
Linear Interpolation
Interpolate y at x between two points.
Formula
Formula
y = y0 + (x−x0)y1−y0x1−x0
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| x₀,y₀ | first point | real number (ℝ) | — | input |
| x₁,y₁ | second point | real number (ℝ) | — | input |
| x | query | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenx₀ = 0, y₀ = 0, x₁ = 10, y₁ = 100, x = 3
Result30
Example 2
Givenx₀ = 1, y₀ = 5, x₁ = 5, y₁ = 25, x = 3
Result15