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Two lines with opposite reciprocal slopes form perpendicular lines.

Question

Two lines with opposite reciprocal slopes form perpendicular lines.

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Solution

Yes, that's correct. Two lines are perpendicular if and only if the product of their slopes is -1. In other words, if m1 and m2 are the slopes of two lines, then these lines are perpendicular if m1*m2 = -1. This is equivalent to saying that the slopes are negative reciprocals of each other. For example, if the slope of one line is 2, the slope of a line perpendicular to it would be -1/2.

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