Slope Calculator

How to Use the Slope Calculator

The Slope Calculator is a convenient tool for calculating the slope, angle, and distance between two points on a coordinate plane. Follow these steps to make the most out of this calculator:

Step 1: Enter Coordinates

1. X₁ Coordinate: Input the x-coordinate of the first point in the field labeled “X₁ Coordinate”. Ensure the value is a number, and it can be entered with up to two decimal places.
2. Y₁ Coordinate: Enter the y-coordinate of the first point in the field labeled “Y₁ Coordinate”. This value should also be numeric, allowing for up to two decimal places.
3. X₂ Coordinate: Next, input the x-coordinate of the second point in the field labeled “X₂ Coordinate”, again supporting numbers up to two decimal points.
4. Y₂ Coordinate: Finally, provide the y-coordinate of the second point in the space labeled “Y₂ Coordinate”, ensuring it’s a valid number with up to two decimal places.

Step 2: Review Computed Results

Once you have entered the coordinates, the Slope Calculator will automatically compute the following:

• Slope (m): The calculator uses the formula (y2 - y1) / (x2 - x1) to find the slope of the line passing through the two points. This result will be displayed as a number with up to four decimal places.
• Angle (degrees): Using the formula atan2(y2 - y1, x2 - x1) * 180 / pi, the calculator determines the angle the line makes with the positive x-axis. The angle is shown in degrees, rounded to two decimal places, and noted with a degree symbol (°).
• Distance between points: The distance between the two points is calculated through the formula sqrt(pow(x2 - x1, 2) + pow(y2 - y1, 2)). The distance is presented as a number with two decimal points, suffixed with “units”.

Conclusion

By following the above steps, you can efficiently use the Slope Calculator to determine the slope, angle, and distance between any two points on a coordinate system. Ensure to double-check your entries for any errors in decimal placements or number inputs, to get the most accurate results.