Perpendicular Line Calculator

How to Use the Perpendicular Line Calculator

The Perpendicular Line Calculator is a tool designed to help you calculate the slope and equation of a line perpendicular to a given line. To use this calculator effectively, follow the detailed steps below:

Step 1: Enter the Coordinates of the Original Line

• X Coordinate of Point 1: Find the input field labeled Point 1 – X coordinate. Enter the X-coordinate value for the first point on your original line. Make sure this value is a number.
• Y Coordinate of Point 1: In the field labeled Point 1 – Y coordinate, enter the Y-coordinate for the first point on the original line. This value must also be a number.
• X Coordinate of Point 2: Locate the Point 2 – X coordinate input field, and input the X-coordinate for the second point on your original line as a numeric value.
• Y Coordinate of Point 2: Enter the Y-coordinate for the second point in the Point 2 – Y coordinate field, ensuring that it is a numeric entry.

Step 2: Define the Point of Perpendicularity

• X Coordinate of Point P: Identify the input field labeled Point P – X coordinate. Enter the X-coordinate of point P, which is the point through which the perpendicular line will pass.
• Y Coordinate of Point P: Input the Y-coordinate for Point P in the Point P – Y coordinate field. This ensures that the perpendicular line accurately passes through Point P.

Step 3: Review the Calculated Results

• Original Line Slope: After entering all necessary inputs, the calculator will compute the slope of the original line using the formula (y2 – y1) / (x2 – x1). The result, displayed with four decimal point precision, will be visible next to the Original Line Slope label.
• Perpendicular Line Slope: The calculator will then calculate the perpendicular line’s slope using -1 / slope of the original line. This value, accurate to four decimal places, is shown next to the Perpendicular Line Slope label.
• Y-Intercept of Perpendicular Line: The y-intercept is automatically calculated using the formula pointY – (perpendicularSlope * pointX). View this precise result next to the Y-Intercept of Perpendicular Line.
• Equation of the Perpendicular Line: To see the complete equation formed by the perpendicular line, check the field labeled Perpendicular Line Equation. The equation will be presented as a string in the format ‘y = ‘ + perpendicularSlope + ‘x + ‘ + yIntercept.

By following these steps, you can use the Perpendicular Line Calculator to determine the slope and equation of a line perpendicular to a given line efficiently. Ensure all input fields are filled correctly to receive accurate results.