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Perpendicular Lines
Two lines in a coordinate plane are perpendicular if they intersect at a right angle (). The slopes of perpendicular lines are negative reciprocals of each other: if one line has slope and the other has slope , then their product is , which is written as , or equivalently . For example, a line with slope is perpendicular to a line with slope , because \frac{2}{3} \left(-\frac{3}{2} ight) = -1. This negative reciprocal relationship does not apply when one of the lines is vertical (with an undefined slope) and the other is horizontal (with a slope of ); however, a vertical line and a horizontal line are always perpendicular to each other.
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