Newton Interp 2 pts

The Newton 2-Point Linear Interpolation Calculator is a tool that allows you to find the value of a function at an intermediate point, given two points on the function. It uses the formula P(x) = y₁ + slope·(x−x₁), where slope is the slope of the line passing through the two known points.

The formula used is based on the linear interpolation method, which assumes that the function between the two known points is linear. This means that the curve of the function between these points can be approximated by a straight line. The calculator uses this approximation to estimate the value of the function at any intermediate point.

This calculator is useful in various practical situations, such as when we need to estimate values in a data table or when the data is too spaced for a more complex interpolation. However, care must be taken with the accuracy of the results, as linear interpolation may not be accurate for very complex functions or with many variations.

To use the calculator correctly, it is essential to enter the correct values for the two known points (x₁, y₁) and (x₂, y₂) and the point for which you want to find the value of the function (x). Additionally, it is important to assess whether the hypothesis of linearity between the points is reasonable for the problem in question.