How to Find the Equation of a Perpendicular Line

This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.

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Finding the equation of a line perpendicular to another line is a simple process that can be completed in two different ways. The first way is to solve for the equation of a line with one ( x , y ) point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle and that you need to find its slope. The equation for a line on a graph is y = m x + b . [1] X Research source The y is the line, the x is the slope of the line multiplied by m , and the b is where the line intercepts the y-axis of the graph. [2] X Research source