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# Linear Interpolation watch

1. --
2. I cant see if what you have written is right because I had no idea modulus was involved but I have just been playing around with some linear interpolation and from what I can see:

If the curve is and the limits are and then the first approximation of the root, is given by:

The way I got to this was from thinking about what linear interpolation actually is.

First, you take a curve and find an interval which has a root in it, say

Then draw a straight line from one end of the interval to the other i.e. join the points and

Finally work out where this straight line crosses the x axis and bingo, you have your approximation.

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Updated: November 9, 2008
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