In this lesson, you will learn how to find the equation of a line that is perpendicular to a given line and passes through a given point. The key to this is knowing that perpendicular lines have opposite reciprocal slopes. By finding the opposite reciprocal slope of the given line, you can then use the slope-intercept method to write the equation of the perpendicular line. This method involves plugging in the given point and the new slope to find the equation in the form y=mx+b. Understanding this concept will enable you to easily write equations for lines that are perpendicular to a given line.
Writing an equation for a line that is perpendicular to a given line and goes through a given point.
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