Linear interpolation

In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

If the two known points are given by the coordinates ${\displaystyle (x_{0},y_{0})}$ and ${\displaystyle (x_{1},y_{1})}$, the linear interpolant is the straight line between these points. For a value x in the interval ${\displaystyle (x_{0},x_{1})}$, the value y along the straight line is given from the equation

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