Data points

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xyRemove

Straight line between neighboring points. The everyday choice.

Find x from y

Inverse linear interpolation

Interpolated y

10

Linear

Curve

Dots are your table. The line is the interpolant. Diamond marks the query.

Working

  1. Using the surrounding segment

    x sits between 0 and 10.

  2. Linear formula

    y = y₀ + (x − x₀) / (x₁ − x₀) × (y₁ − y₀)

  3. Plug in

    y = 0 + (5 − 0) / (10 − 0) × (20 − 0)

  4. Fraction along the segment

    t = 0.5 → y = 10

  5. Result 10