Géométrie

Perpendicular Line Equation Calculator

Easily find the equation of a perpendicular line with our online calculator. Input the slope and a point to get the perpendicular line equation and interactive graph.

Input Parameters

Enter the slope of the given line and the coordinates of a point through which the perpendicular line passes.

Perpendicular Line Equation:

Line Visualization

Understanding Perpendicular Lines

In geometry, perpendicular lines are lines that intersect at a right angle (90 degrees). If a line has a slope 'm', then a line perpendicular to it has a slope of '-1/m', provided m is not zero. For a horizontal line (slope = 0), a perpendicular line is vertical and its equation is of the form x = constant.

How to use this tool:

  • Enter the slope of the given line.
  • Enter the x and y coordinates of a point that the perpendicular line passes through.
  • Click 'Calculate' to find the equation of the perpendicular line.
  • The equation and an interactive graph visualizing both lines will be displayed.
  • Use the 'Copy Equation' button to copy the equation for your use.

Learn more about perpendicular lines on resources like Math is Fun and Wikipedia.