Linear Interpolation
Linear interpolation is a method used to estimate unknown values that fall within two known values on a straight line. It assumes that the change between the two known points is linear, allowing us to find intermediate values easily. For example, if you know the temperature at 2 PM and 4 PM, you can estimate the temperature at 3 PM using linear interpolation.
To perform linear interpolation, you use the formula: y = y_1 + \frac(x - x_1)(y_2 - y_1)(x_2 - x_1) . Here, (x_1, y_1) and (x_2, y_2) are the known points, and x is the value for which you want to find y . This technique is widely used in fields like mathematics, engineering, and computer graphics.