Linear Function Calculator

How to Use the Linear Function Calculator

This guide will help you navigate through the Linear Function Calculator, which is designed to compute various properties of a linear function. This calculator requires inputs for the slope, y-intercept, and an x-value, then provides results including the y-value, linear equation, x-intercept, and the angle with the x-axis.

Step 1: Input the Slope (m)

The first step is to enter the slope of the linear function. Look for the input field labeled Slope (m). Enter a numerical value that represents the slope, keeping within the range of -1000 to 1000, and use increments of 0.1 for precision. This field is mandatory, so ensure it is filled correctly.

Step 2: Input the Y-Intercept (b)

Next, provide the y-intercept in the field labeled Y-Intercept (b). Just like the slope, the y-intercept should be a number between -1000 and 1000, with a step value of 0.1. This input is required and will be used in calculating the results.

Step 3: Enter the X Value

The third input required is the x-value, which you enter into the field labeled X Value. This x-coordinate is necessary for calculating the corresponding y-value on the linear function. Enter a number between -1000 and 1000, with a precision up to 0.1 increments. This field must be filled in for the calculator to work.

Understanding the Results

• Y Value: Once the inputs are provided, the calculator will compute the y-value using the formula: slope * xValue + yIntercept. The result is displayed with two decimal places.
• Linear Equation: The calculator will also display the equation of the line in the format 'y = ' + slope + 'x + ' + yIntercept. This gives you a visual representation of the line formed by the function.
• X-Intercept: The value where the line crosses the x-axis (x-intercept) is calculated using -yIntercept / slope. It is helpful in understanding the line’s intersection with the axes and is formatted to two decimal places.
• Angle with X-axis: Lastly, the calculator provides the angle that the line makes with the x-axis in degrees. This is computed using the formula atan(slope) * 180 / pi and is presented with one decimal place, accompanied by a degree symbol (°).

By following these steps and accurately entering the required data, you can explore various aspects of linear equations and deepen your understanding of linear functions.