Graph Slope Calculator

How to Use the Graph Slope Calculator

The Graph Slope Calculator is designed to help you easily calculate the slope and other related properties of a line when you have the coordinates of two points. The guide below will walk you through the process of using the calculator effectively.

Step 1: Input the Coordinates

• X₁ Coordinate: Enter the x-coordinate of the first point. This value is required and can be any number.
• Y₁ Coordinate: Enter the y-coordinate of the first point. This value is required and can be any number.
• X₂ Coordinate: Enter the x-coordinate of the second point. This value is required and can be any number.
• Y₂ Coordinate: Enter the y-coordinate of the second point. This value is required and can be any number.

Step 2: Calculate the Slope and Additional Properties

Once you’ve entered both sets of coordinates, the calculator will automatically perform several calculations to provide you with important properties of the line:

• Slope (m): This is calculated using the formula (y₂ – y₁) / (x₂ – x₁). The result is displayed with up to four decimal places.
• Rise Over Run: This property shows the change in y (rise) over the change in x (run) in a fractional format.
• Angle (degrees): This tells you the angle of the slope with respect to the x-axis, calculated using the atan2(y₂ – y₁, x₂ – x₁) * 180 / π formula, and is displayed with up to two decimal places, followed by a degree symbol (°).
• Y-Intercept (b): This is obtained by applying the formula y₁ – ((y₂ – y₁) / (x₂ – x₁)) * x₁ , presented with up to four decimal places.
• Line Equation: The equation of the line in the format y = mx + b where m is the slope and b is the y-intercept, displayed with coefficients up to two decimal places.

Summary

The Graph Slope Calculator not only provides the slope between two points but also additional insights like the angle, rise over run, y-intercept, and the line equation. Ensure all required fields are filled accurately to obtain precise results. You can use these results for further analysis or plotting related work.