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Linear
interpolation is one of the simplest ways of interpolation. Linear
interpolation determines, from two points (x_{1},y_{1}) and
(x_{2},y_{2}), what the value of y is at a different point x_{3}.
Linear interpolation assumes a linear slope between points 1 and 2 and based
on that slope will determine what the value of y would be at another given
point x. Obviously a limitation of this method is that it assumes a linear
slope, and thus if the parameters do not have a linear relationship the
value returned would be incorrect.
