Question

The product of these slopes is ______.This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answer 1

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