How to Use the Slope Graph Calculator

The Slope Graph Calculator is a tool designed to calculate various properties related to a line defined by two points: the slope, y-intercept, slope equation, the distance between points, and the angle of the line. With this guide, you’ll swiftly learn how to efficiently use the calculator to obtain these metrics.

Step 1: Input Coordinates

Begin by entering the coordinates of the two points that define your line.

• X₁ Coordinate: Enter the x-coordinate of the first point in the field labeled ‘X₁ Coordinate’. Ensure you enter a valid number, as this field is required.
• Y₁ Coordinate: Enter the y-coordinate of the first point in the field labeled ‘Y₁ Coordinate’. This input is necessary and should be a numerical value.
• X₂ Coordinate: Fill in the x-coordinate for the second point under the ‘X₂ Coordinate’ label. Like the previous fields, this too requires a valid number.
• Y₂ Coordinate: Finally, enter the y-coordinate of the second point, labeled as ‘Y₂ Coordinate’. This requires a valid numerical input as well.

Step 2: Calculate Results

After entering the coordinates, the calculator will compute the following results automatically:

• Slope (m): This is calculated as (y2 – y1) / (x2 – x1) and represents the rate of change between the two points. The result is displayed with up to four decimal places.
• Y-Intercept (b): The y-intercept is calculated using the formula y1 – (slope * x1), showing where the line crosses the y-axis, formatted to four decimal places.
• Slope Equation: This equation is represented in the form y = mx + b. The calculator uses previously determined slope (m) and y-intercept (b) to instantly construct and display the equation.
• Distance Between Points: Utilize the formula sqrt(pow((x2 – x1), 2) + pow((y2 – y1), 2)) to determine the straight-line distance between the two coordinates. The result is formatted to four decimal places followed by the unit ‘units’.
• Angle (in radians): Calculated using atan(slope), this gives you the angle of the line in radians, with a precision of four decimal places.
• Angle (in degrees): The angle in degrees uses the conversion atan(slope) * 180 / pi and shows the slope’s incline in degrees, rounded to two decimal places and labeled with ‘°’.

Follow these steps to efficiently use the Slope Graph Calculator to obtain important linear properties that assist in mathematical, physics, or engineering applications.