Question

If you multiply the slopes of two perpendicular lines, the product is −1.

Answer 1

Answer:

True

Step-by-step explanation:

We can prove this by modeling the slope of a line as x, and since perpendicular lines have the opposite reciprocal slope of the first line, its slope will be $\frac{-1}{x}$.

From here, you multiply the two slopes together, which is $\frac{x}{1}*\frac{-1}{x}$. Simplifying this expression gives $\frac{-x}{x}$, which is equal to -1 when you cancel out x.