Algebra 1: Lesson 4.8 Flashcards

What is the equation of the line for y=1?

What is the equation of the line for y=2?

What is the equation of the line for x=-2?

What is the equation of the line for x=-1?

What is the equation of the line for x=3?

What is the equation of the line for y=5?

What is the equation of the line for x=-5?

What is the equation of the line for y=-3?

What is the equation of the line for y=-5?

What is the equation of the line for x=2?

What is the equation of the line for x=-3?

What is the slope for zero slope?

What is the slope for undefined slope?

What type of line represents zero slope?

What type of line represents undefined slope?

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.

Test your knowledge of horizontal and vertical lines with these flashcards. Each card presents an equation, and your task is to write the equation of the corresponding line. It's a great way to reinforce your understanding of line equations in Algebra.