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# Calculator 2 - Linear Interpolation

Linear interpolation is one of the simplest ways of interpolation.  Linear interpolation determines, from two points (x1,y1) and (x2,y2), what the value of y is at a different point x3.  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.

LINEAR INTERPOLATION CALCULATOR

First Point

X1:
Y1:

Second Point

X2:
Y2:

Third Point

X3:

Y3:

EXAMPLE:

slope = (33-26)/(65-10) = 0.127

note:  slope is rounded and therefore the following calculation is approximate

Y3 = Y1+ slope x (X3-X1)

= 26 + 0.127*(29-10) = 28.413

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