5-6 Parallel and Perpendicular Lines
Objectives
To determine whether lines are parallel, perpendicular, or neither
To write equations of parallel lines and perpendicular lines
Two distinct lines in a coordinate plane either intersect or are parallel. Parallel lines are lines in the same plane that never intersect.
Lesson Vocabulary
- parallel lines
- perpendicular lines
- opposite reciprocals
Essential Understanding You can determine the relationship between two lines by comparing their slopes and y-intercepts.
Take Note Key Concept: Slopes of Parallel Lines
Words
Nonvertical lines are parallel if they have the same slope and different y-intercepts. Vertical lines are parallel if they have different x-intercepts.
Example
The graphs of
Graph
You can use the fact that the slopes of parallel lines are the same to write the equation of a line parallel to a given line.
Table of Contents
- 2-1 and 2-2 Solving One- and Two-Step Equations
- 2-3 Solving Multi-Step Equations
- 2-4 Solving Equations With Variables on Both Sides
- 2-5 Literal Equations and Formulas
- 2-6 Ratios, Rates, and Conversions
- 2-7 and 2-8 Solving Proportions and Using Similar Figures
- 2-9 Percents
- 2-10 Change Expressed as a Percent
- 3-1 Inequalities and Their Graphs
- 3-2 Solving Inequalities Using Addition or Subtraction
- 3-3 Solving Inequalities Using Multiplication or Division
- 3-4 Solving Multi-Step Inequalities
- 3-5 Working With Sets
- 3-6 Compound Inequalities
- 3-7 Absolute Value Equations and Inequalities
- 3-8 Unions and Intersections of Sets
- Chapter 1 Foundations for Algebra
- Chapter 2 Solving Equations
- Chapter 3 Solving Inequalities
- Chapter 4 An Introduction to Functions
- Chapter 5 Linear Functions
- Chapter 6 Systems of Equations and Inequalities
- Chapter 7 Exponents and Exponential Functions
- Chapter 8 Polynomials and Factoring
- Chapter 9 Quadratic Functions and Equations
- Chapter 10 Radical Expressions and Equations
- Chapter 11 Rational Expressions and Functions
- Chapter 12 Data Analysis and Probability