Perpendicular Line Equation Calculator
Easily calculate the equation of a perpendicular line with our free online calculator. Input the slope and a point to find the perpendicular line equation in slope-intercept form. Visualize lines and copy results instantly.
Perpendicular Line Equation
Slope of Perpendicular Line:
Y-intercept of Perpendicular Line:
Equation:
Line Visualization
Understanding Perpendicular Lines
In geometry, perpendicular lines are lines that intersect at a right angle (90 degrees). If you have a line with a slope 'm', a line perpendicular to it will have a slope of '-1/m', provided m is not zero. This calculator helps you find the equation of such a perpendicular line that passes through a given point (x1, y1).
To use this tool, simply enter the slope of the original line and the x and y coordinates of the point through which the perpendicular line should pass. Click 'Calculate' to get the slope and y-intercept of the perpendicular line, along with its equation in slope-intercept form (y = mx + b). You can also visualize both lines on an interactive graph.
This tool is useful for students learning about coordinate geometry, engineers, and anyone needing to quickly find equations of perpendicular lines.