Best Math Teaching: Help on Linear Interpolation Formula

Introduction to linear interpolation formula:

In this section let me help you on linear interpolation formula.In the mathematical sub field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. Linear interpolation is a method of curve fitting using linear polynomials.It is a simple form of interpolation.

Linear interpolation formula:

The linear interpolation is the straight line between the two points which are given by the coordinates (x0, y0) and (x1, y1). In the interval of (x0, x1) the value of x which gives the straight line and it is given from the equation for the value of y along. This can also help us on thermodynamics equations

$\displaystyle\frac{{{y}-{y}_{{0}}}}{{{x}-{x}_{{0}}}}$ = $\displaystyle\frac{{{y}_{{1}}-{y}_{{0}}}}{{{x}_{{1}}-{x}_{{0}}}}$

It can be derived geometrically as follow

Solve the above for the unknown value of y
y = y₀ + (x- x₀) $\displaystyle\frac{{{y}_{{1}}-{y}_{{0}}}}{{{x}_{{1}}-{x}_{{0}}}}$
In the interval (x₀, x₁), it is the linear interpolation formula

Best Math Teaching

Thursday, July 29, 2010

Help on Linear Interpolation Formula

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