Algebra 1: Lesson 4.8 Flashcards

Equations of Horizontal and Vertical Lines

• Horizontal lines are represented by equations in the form y = c, where c is a constant.

• Example: y = 1 denotes a horizontal line cutting the y-axis at 1.

• All horizontal lines have a slope of zero (0).

• Vertical lines are represented by equations in the form x = c, where c is a constant.

• Example: x = -2 indicates a vertical line crossing the x-axis at -2.

• All vertical lines have an undefined slope.

Specific Examples of Lines

• y = 2 is a horizontal line that intersects the y-axis at 2.
• x = -1 is a vertical line that crosses the x-axis at -1.
• x = 3 is a vertical line at 3 on the x-axis.
• y = 5 is a horizontal line located at y=5.
• x = -5 represents a vertical line at -5 on the x-axis.
• y = -3 is a horizontal line intersecting the y-axis at -3.
• y = -5 indicates a horizontal line at y=-5.
• x = 2 depicts a vertical line located at x=2.
• x = -3 is a vertical line crossing the x-axis at -3.
• x = 1 represents a vertical line intersecting at x=1.

Concepts of Slope

• A zero slope (0) characterizes horizontal lines, meaning there is no vertical change regardless of horizontal change.
• An undefined slope defines vertical lines, indicating that there is vertical change without any horizontal change.