Perpendicular Line Equation Finder

Easily calculate the equation of a perpendicular line and visualize it on an interactive graph.

Input Parameters

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

Slope of the given line (m):

x-coordinate of the point (x1):

y-coordinate of the point (y1):

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.