Proof: perpendicular lines have negative reciprocal slope
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Khan Academy
Proof: perpendicular lines have negative reciprocal slope
To prove that perpendicular lines have opposite reciprocal slopes, draw the two lines and label key points. By identifying the two right triangles that are formed, one can use the definition of slope to calculate the slopes of the two lines. Finally, using the properties of similar right triangles, show that the two slopes are indeed opposite ...
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