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xz_007 [3.2K]
3 years ago
13

The product of these slopes is ______.This product shows that the slopes are negative reciprocals. It is given that the lines ar

e perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

- 1

Step-by-step explanation:

Let the slope of one line be 's' , then according to the given condition that the  slope of second line is negative reciprocal of the first , We obtain the slope of the second line as \frac{-1}{s}.

So, the product of both the slopes is given by s\cdot \frac{-1}{s}=-1

This shows that whatever the slopes may be if they are negative reciprocal of each other then their product will always be -1


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