How to Graph Horizontal and Vertical Lines

TL;DR

Horizontal lines have a slope of 0, while vertical lines have an undefined slope.

Transcript

in this video we're going to talk about horizontal lines and vertical lines so horizontal line talk about those over here and then over here we'll talk about vertical lines vertical lines and I just want to show you what the formulas are what they look like what the equations look like and why they look the way they look so say we have y equals a n... Read More

Key Insights

• 🏙️ Horizontal lines have a slope of 0 due to constant y values.
• 🫥 Vertical lines have an undefined slope due to no horizontal movement.
• 🏙️ A horizontal line is graphed as a line parallel to the x-axis at a specific y value.
• 🏙️ A vertical line is represented as a line parallel to the y-axis at a constant x value.
• 🏙️ Horizontal lines are equations where y equals a number, while vertical lines are expressed as x equals a number.
• 🫥 The slope of a horizontal line is consistently 0, while the slope of a vertical line is always undefined.
• 🫥 Graphically, a horizontal line is a flat line on a graph, while a vertical line is a line perpendicular to the x-axis.

Questions & Answers

Q: What is the equation for a horizontal line?

A horizontal line has the form y equals a number, where the slope is always 0 as the y value remains constant regardless of the x value chosen.

Q: How are vertical lines represented graphically?

Vertical lines are graphed as lines parallel to the y-axis at a specific x value, with the equation x equals a number denoting a vertical line. The slope for vertical lines is undefined due to no horizontal movement.

Q: Why do horizontal lines have a slope of 0?

Horizontal lines have a slope of 0 because there is no vertical movement (rise) as the y value remains constant, leading to a rise over run ratio of 0.

Q: What happens when the slope is undefined for a vertical line?

The slope of a vertical line is undefined as there is no horizontal movement (run), resulting in a rise over run ratio that leads to division by 0, making the slope undefined.

Summary & Key Takeaways

• Horizontal lines, with y equal to a number, always have a slope of 0 due to the constant y value.

• Vertical lines, with x equal to a number, have an undefined slope as there is no horizontal movement.

• Horizontal lines are graphed as flat lines while vertical lines are represented as vertical lines on a graph.