Interpolation Calculator

Using the Interpolation Calculator

This step-by-step guide will help you use the Interpolation Calculator to find the interpolated y value, calculate the slope, and generate the linear equation for a given set of coordinates and an interpolation point.

Step 1: Input Initial Coordinates

Begin by entering the initial coordinates for your interpolation:

• x₀ (First x-coordinate): Enter the first x value. This input is required.
• y₀ (First y-coordinate): Enter the first y value. This input is required.

Step 2: Input Second Coordinates

Next, provide the second set of coordinates:

• x₁ (Second x-coordinate): Input the second x value. This field is required.
• y₁ (Second y-coordinate): Input the second y value. This field is required.

Step 3: Enter the Point to Interpolate

Now, specify the x value at which you want to interpolate:

• x (Point to interpolate): Enter the x value for which you want to find the corresponding y value. This input is necessary.

Step 4: View the Results

After entering all the required information, the calculator will provide you with the following results:

• Interpolated y value: The calculator will compute the y value at the specified x using the formula: y₀ + ((y₁ - y₀) * (x - x₀)) / (x₁ - x₀).
• Slope (m): The slope of the line connecting the two points will be calculated as: (y₁ - y₀) / (x₁ - x₀).
• Linear Equation: You will get the equation of the line in the form: y = m(x - x₀) + y₀.

Ensure that all inputs are correctly filled, and the resultant calculations will display with precision up to four decimal places. This tool assists in efficiently performing linear interpolation and deriving related metrics.