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

(As long as neither line is vertical.)

Respuesta :

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 [tex]\frac{-1}{x}[/tex].

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

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