Chapter 2 Section 3

Calculate and Interpret the Slope of a Line

Rise and Run of a Line

Definition

Slopes

Figure

Example

Figure

Figure

Figure

Graph Lines Given a Point and the Slope

Example

Solution

Solution continued Figure 32

Solution continued Figure 33

Find the Equation of a Vertical Line

Example

Solution Figure 34

Theorem

Use the Point-Slope Form of a Line; Identify Horizontal Lines

Figure

Theorem

Example

Solution continued Figure 36

Example

Solution

Solution continued Figure 37

Theorem

Find the Equation of a Line Given Two Points

Example

Solution

Solution continued Figure 38

Write the Equation of a Line in Slope-Intercept Form

Theorem

Seeing the Concept

Seeing the Concept

Identify the Slope and y-Intercept of a Line from Its Equation

Example

Solution

Solution continued

Graph Lines Written in General Form Using Intercepts

Definition

Example

Solution

Solution continued Figure 42

Find Equations of Parallel Lines

Parallel Lines

Theorem

Figure

Example

Solution

Solution continued Figure 45

Find Equations of Perpendicular Lines

Perpendicular Lines 90°

Theorem

Proof of Criterion for Perpendicular Lines

Example

Solution

Solution continued Figure 48