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Formula of Linear Interpolation \(y=y_{1}+\frac{\left(x-x_{1}\right)\left(y_{2}-y_{1}\right)}{x_{2}-x_{1}}\) Where, $x_{1}$ and $y_{1}$ are the first coordinates $x_{2}$ and $y_{2}$ are the second coordinates x is the point to perform the interpolation y is the interpolated value. Solved Examples

Linear Interpolation Formula

What is the linear interpolation formula? ... Linear interpolation involves estimating a new value by connecting two adjacent known values with a straight line.

Linear Interpolation Formula · y=y_{1}+\frac{(x-x_{1})(y_{2}-y_{1})}{x_{2}-x_{1}}\\ · y_{2} = 7 · y=y_{1}+\frac{(x-x_{1})(y_{2}-y_{1})}{x_{2}-x_{1}}\\ · y = 4 + \ ...

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 ...

The linear interpolation formula is the simplest method that is used for estimating the value of a function between any two known values.

The Formula of Linear Interpolation · x1 and y1 are the first coordinates · x2 and y2 are the second coordinates · x is the point where we perform the ...

The unknown value is found out. If the given sets of values work on a linear trend, then we can apply linear Interpolation in excel ...

If the two known points are given by the coordinates and , the linear interpolant is the straight line between these points. For a value x in the interval , the value y along the straight line is given from the equation of slopes which can be derived geometrically from the figure on the right. It is a special case of polynomial interpolation with n = 1.

We look to see the y value on the line for our chosen x. This is linear interpolation. It is possible to show that the formula of the line between x1,y1 and ...

Know the formula for the linear interpolation process. The formula is y = y1 + ((x - x1) / (x2 - x1)) * (y2 - y1), where x is the known ...

What Is Linear Interpolation?

The Formula of Linear Interpolation

Get the linear interpolation formula with solved examples at BYJU'S. It helps in curve fitting using linear polynomials when the range of data points are known. For more formulas, visit BYJU'S.

The linear interpolation formula can be used for finding the unknown values in the table. The formula for linear interpolation formula is given by: Linear Interpolation(y) = \(y_{1}+ (x-x_{1})\dfrac{(y_{2}-y_{1})}{(x_{2}-x_{1})}\) Linear Interpolation Formula . The formula to calculate linear interpolation is:

The linear interpolation formula is the simplest method that is used for estimating the value of a function between any two known values. Understand more on linear interpolation formula along with derivation, examples, and FAQs.