📈 Linear Interpolation Calculator

📘 About Linear Interpolation

Estimates a missing value between two known points, assuming a straight line.
Formula: y = y₀ + [(y₁ − y₀) × (x − x₀)] / (x₁ − x₀)
Used in engineering, science, weather, finance, and many UAE business tools.

Enter two known points and your desired x value. The tool shows the interpolated y value and a breakdown of the calculation.

Linear Interpolation Calculator – Accurate Step-by-Step Solver

Linear interpolation is a powerful mathematical technique used to estimate unknown values that fall between two known data points. Whether you’re an engineer, student, data analyst, or scientist, our Linear Interpolation Calculator helps you compute results with precision and speed.

This tool is especially helpful in physics, finance, and engineering contexts where values between two observations need to be predicted. It also supports linear extrapolation calculator functionality, allowing you to estimate values beyond a given range.

What is Linear Interpolation?

Linear interpolation is a method of curve fitting using straight lines. It is used to estimate a value between two known values in a data set. The method assumes the rate of change between the two points is constant, making it ideal for datasets where the values vary linearly.

Linear Interpolation Formula:

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

Where:
(x₁, y₁) and (x₂, y₂) are the known data points
x is the target x-value
y is the interpolated result

Our interpolation calculator online handles all the math for you—just input your values and get the result instantly.

How to Use the Linear Interpolation Calculator

If you are thinking about “how to do linear interpolation?”, here is the answer

Enter the known data points:
and $y_{2}$
Input the desired $x$ -value (within or beyond the range)
Click “Calculate” to get the interpolated (or extrapolated) $y$ -value
See step-by-step explanation (optional)

This interpolation formula calculator is easy enough for students and powerful enough for professionals.

Why Use Our Online Interpolation Tool?

✅ Supports interpolation AND extrapolation
✅ 100% free and accurate
✅ No signup or download required
✅ Ideal for school, engineering, or data work
✅ Mobile and desktop optimised

Whether you’re solving math homework or engineering a control system, our linear interpolation calculator is your go-to solution.

Linear Extrapolation Calculator – Predict Beyond Known Data

Extrapolation is the process of estimating values outside a known range of data points. Our linear extrapolation calculator uses the same formula as interpolation, but lets you input values outside of the original x-range.

This is useful in forecasting, future value predictions, or estimating limits.

Real-World Applications

Engineering – Calculating material stress or temperature gradients
Finance – Estimating missing financial metrics
Science – Predicting lab experiment outcomes
Education – Assisting with math and physics assignments
Weather – Estimating data gaps in climate reports

When to Use Linear Interpolation vs. Extrapolation

Use interpolation when the desired x-value is between two known points
Use extrapolation when the desired x-value is outside the known data range

Our calculator handles both seamlessly.

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External Resource

Learn more about interpolation methods on Khan Academy.