This worksheet help you to understand how to calculate Linear Interpolation. The unknown value which lies between the two known rates/ points can be calculated by linear interpolation.

The below formula is used to

(y-y_{0})/(x-x_{0})=(y_{1}-y_{0})/(x_{1}-x_{0})

Lets consider (x_{1},y_{1}), (x_{3}, y_{3}) are two points to find the value of the point x_{2} or y_{2}

**Linear Interpolation Formulas to find unknown:**

To find y_{2},

y_{2}=(x_{2}-x_{1})*(y_{3}-y_{1})/(x_{3}-x_{1})+y_{1}

To find x_{2},

x_{2}=(y_{2}-y_{1})*(x_{3}-x_{1})/(y_{3}-y_{1})+x_{1}

To findout the value of X_{2} we must know the value of y_{2}; to find y_{2} we must know the value of x_{2}

**Linear Interpolation Example:**

x1 =1 x2 =2 x3 = 3

y1 = 4 y2 = ? y3 = 6

The formula to find y2 is,

y2=(x2-x1)*(y3-y1)/(x3-x1)+y1

y2=(2 - 1)*(6 - 4)/(3 - 1) + 4

y2 = 2/2 + 4

y2 = 5

Hence the unknown point Value is 5

When you try such calculations on your own, this *linear interpolation calculator* can be used to verify your results.

Math Calculators

- Standard Deviation Calculator
- Probability Calculator
- Frequency Converter
- Square Calculator
- Circle Calculator
- Cylinder Calculator
- Midpoint Calculator
- Slope Intercept Form Calculator
- Radical Equation Calculator
- Quadratic Equation Calculator
- Percentage Calculator
- Log Calculator
- Fraction to Decimal calculator
- Radical Calculator
- LCM Calculator