Slope Graph Calculator

Slope Graph Calculator User Guide

Welcome to the Slope Graph Calculator! This tool will enable you to calculate the slope, angle in radians and degrees, y-intercept, linear equation, and distance between two points in a Cartesian plane. Follow these steps to utilize the calculator effectively:

Step 1: Input Coordinates

• X₁ Coordinate: Enter the x-coordinate value for the first point.
• Y₁ Coordinate: Enter the y-coordinate value for the first point.
• X₂ Coordinate: Enter the x-coordinate value for the second point.
• Y₂ Coordinate: Enter the y-coordinate value for the second point.

Ensure all values are entered accurately as numbers without skipping any fields, as they are mandatory.

Step 2: Calculate Results

Once the input fields are correctly filled, the Slope Graph Calculator will perform the necessary calculations to provide you with the following results:

• Slope (m): This is calculated using the formula (y₂ – y₁) / (x₂ – x₁).
• Angle in Radians: The calculator provides the angle of the slope in radians using atan((y₂ – y₁) / (x₂ – x₁)).
• Angle in Degrees: The angle in degrees is derived from radians with the formula atan((y₂ – y₁) / (x₂ – x₁)) * 180 / π.
• Y-Intercept (b): Calculated as y₁ – ((y₂ – y₁) / (x₂ – x₁)) * x₁, this value indicates where the line crosses the y-axis.
• Linear Equation: The equation of the line in the form of y = mx + b is generated using the slope and y-intercept.
• Distance Between Points: The linear distance between the two points is calculated using sqrt(pow(x₂ – x₁, 2) + pow(y₂ – y₁, 2)).

Step 3: Interpretation of Results

After receiving the calculations:

• Use the Slope (m) to understand the inclination of the line. A positive value indicates an upward slope, while a negative value indicates a downward slope.
• Refer to the Angle in Radians and Angle in Degrees to ascertain the steepness and direction of the line in relation to the x-axis.
• The Y-Intercept provides the precise point where the line interacts with the y-axis.
• The Linear Equation offers a mathematical representation of the line on the graph.
• The Distance Between Points offers insight into the spatial separation of the given coordinates.

By following these steps, you can effectively utilize the Slope Graph Calculator to gain valuable insights into the linear relationship between two points. Remember to double-check input values for accuracy and interpret the output for your specific needs.