Interpolation Calculator

Enter two points along a line (X1,Y1) (X2,Y2), as well the final X (X3) coordinate to interpolate the final Y position of that point. Linear interpolation uses the known coordinates and slope to calculate the unknown point.

How to calculate linear interpolation

The first step in calculating the position of a point through interpolation is with the use of a slope. Calculating the slope is as simple as the formula X/Y where X and Y are the sums of the two point coordinates. To learn more about this, visit our slope calculator. Once you have the end point of the coordinates, you can then calculate the distance between points. To learn more about this, visit our distance between points calculator.

Another way to use linear interpolation is to use it to find a midpoint. To do this, you must first calculate the end point using interpolation, then calculate the midpoint using this midpoint calculator.

The last use of linear interpolation is when looking at unit vectors. To learn more, visit our unit vector calculator.

Linear Interpolation

Interpolation is defined as the extrapolation of data using past data. For instance in a stock you could say the price has raised 10% over the last year, therefore, you’re going to extrapolate that the stock will rise 10% over the next year as well. In reality this might not be true, but it is an example of using past data to interpolate.

Linear Interpolation specifically refers to the extrapolation of data across a linear line. For example, lets say you have 2 points (X1,Y1) (X2,Y2). These two points represent a line. Now lets say you want to extend that line out to a new point, say X3. You can calculate the value of Y3, by multiplying the slope of that line by X3, or in other words Y3=slope*X3 where the slop is (X2-X1)/(Y2-Y1). This is an example of linear interpolation.

As you can see, you can interpolate the data point of Y3 or X3 by altering the equation. As long as you have the slope of a line and two points along that line, you can determine the final destination of any point given the X or Y coordinate.

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