Slope Formula Calculator

This Slope Formula Calculator allows users to calculate the slope of a line between two points, along with the angle in radians and degrees, and the rise over run ratio.

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How to Use the Slope Formula Calculator

The Slope Formula Calculator is a tool that helps you calculate the slope of a line, the angle made by the line in both radians and degrees, and provides a simplified “rise over run” format. Below is a step-by-step guide on how to efficiently use this calculator.

Step 1: Enter the Coordinates of the First Point

  • X₁ (First Point):

    Input the x-coordinate of the first point into the field labeled “X₁”. Ensure the value is a number and meets the required validation criteria: it must be entered as it is required, and it can be any number (e.g., integers, decimals).

  • Y₁ (First Point):

    Input the y-coordinate of the first point into the field labeled “Y₁”. Similarly, ensure the value is numeric and mandatory.

Step 2: Enter the Coordinates of the Second Point

  • X₂ (Second Point):

    Input the x-coordinate of the second point into the designated field. This value is required and should follow the step validation of being any number.

  • Y₂ (Second Point):

    Input the y-coordinate of the second point. As with the other fields, the value is mandatory and numeric.

Step 3: Calculating the Results

Once all the input fields are correctly filled out, the calculator will automatically compute the following:

  • Slope (m):

    The calculator uses the formula (y2 - y1) / (x2 - x1) to find the slope. The result will be displayed as a number with up to four decimal places for accuracy.

  • Angle (in radians):

    Calculated using atan((y2 - y1) / (x2 - x1)), the angle is shown in radians and rounded to four decimal places, followed by ” rad”.

  • Angle (in degrees):

    The angle in degrees is derived from converting radians by multiplying with 180 / pi. This result is displayed to two decimal places, followed by the degree symbol “°”.

  • Rise Over Run:

    This is given as a simplified format showing the absolute difference in y-values over the absolute difference in x-values, formatted as a fraction (e.g., “3/4”). The calculator provides this view with two decimal places.