Page 2: Linear Graphs and Slope Concepts

This page delves into the slope-intercept form of linear equations and various slope types. Understanding these concepts is crucial for graphing and analyzing linear relationships.

Definition: The slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

Highlight: The slope formula is m = (y₂ - y₁)/(x₂ - x₁), using two points (x₁, y₁) and (x₂, y₂) on the line.

Example: To graph y = 2x + 3, select multiple x-values and calculate corresponding y-values to plot coordinate points.

Vocabulary: Slope types:

• Positive slope: line rises from left to right
• Negative slope: line falls from left to right
• Zero slope: horizontal line
• Undefined slope: vertical line

Page 3: Graphing Practice and Visualization

The final page provides a visual representation of graphing concepts through a coordinate plane example. This practical application helps reinforce the theoretical concepts covered in previous sections.

Highlight: The coordinate plane shows points ranging from -6 to 6 on both axes, demonstrating the relationship between x and y values.

Example: The graph illustrates how plotting points creates a visual representation of a linear equation.

Vocabulary: Key graphing terms:

• Coordinate plane
• X-axis
• Y-axis
• Plotting points