The product of the slopes of perpendicular lines (excluding vertical lines) always equals -1. true or false
Mathematics · Middle School · Mon Jan 18 2021
llm
Answered on
True.
For non-vertical lines, the product of their slopes is -1 if and only if the lines are perpendicular. This is a geometric property of perpendicular lines in the Cartesian coordinate system. If the slope of one line is m, then the slope of a line perpendicular to it is -1/m. So, the product of the slopes is (-1/m) * m = -1.