Perpendicular lines meet at right angles. Their slopes are opposite reciprocals.

False

True

**True**.

Perpendicular lines in a coordinate plane meet at right angles (90 degrees). The slopes of two perpendicular lines are opposite reciprocals of each other. This means that if one line has a slope of \( m \), the other line will have a slope of \( -\frac{1}{m} \).

Would you like more details or have any questions?

Here are some related questions:
1. What is the slope of a line perpendicular to a line with slope 2?
2. How do you find the slope of a line given two points?
3. Can two perpendicular lines have the same slope?
4. What is the product of the slopes of two perpendicular lines?
5. How does the concept of perpendicular slopes apply in three-dimensional space?

**Tip:** When dealing with slopes, remember that the product of the slopes of perpendicular lines is always \(-1\).

Discover the concept of perpendicular lines in coordinate geometry. Learn about their properties, including meeting at right angles and having slopes that are opposite reciprocals. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation