Question

l2.3-2.5_alg2_cfu
slopes of perpendicular lines are
options: negative reciprocals, the same, opposite

Explanation:

To determine the slopes of perpendicular lines, we recall the geometric property: if two non - vertical lines are perpendicular, the product of their slopes is - 1. Let the slopes of two lines be \(m_1\) and \(m_2\). Then \(m_1\times m_2=- 1\), which implies \(m_2 =-\frac{1}{m_1}\). This means the slopes are negative reciprocals of each other. Slopes that are the same are for parallel lines, and "opposite" is not the correct term to describe the relationship between slopes of perpendicular lines.

Answer:

negative reciprocals