Vertical Line Summary

All the basic of the vertical lines can be summarized as,

  • Vertical line is a straight line perpendicular to the baseline or the horizontal line.
  • Equation of a vertical line is x = h (constant).
  • A vertical line is always parallel to the y-axis.
  • Slope of vertical lines is not defined.

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Vertical Line

Vertical line is a line that is perpendicular to the base of any geometrical object and generally, we state the bottom of the object as a base. In simple words, we define a vertical line as a line that is perpendicular to the horizontal line. In context to the cartesian coordinate system, vertical lines are defined as lines that are parallel to the y-axis or perpendicular to the x-axis. A vertical line always goes from top to bottom and is also called a standing line. 

Various examples where we observe vertical lines are the lines joining the base of the rectangle, square, etc. The vertical lines are very useful for solving and explaining various geometrical problems. This article explores the topic of Vertical Lines including its subtopics like its definition, diagram, relation with other lines, etc. So, let’s learn about the vertical lines in detail in this article.

Table of Content

  • Vertical Line Definition
  • Vertical Line on Coordinate Plane
  • Equation of Vertical Line
  • Example of Vertical Lines
  • Slope of Vertical Line
  • Properties of Vertical Lines
  • Difference between Horizontal Line and Vertical Line
  • Vertical Line Test
  • Vertical Line of Symmetry
  • Vertical Line Summary
  • Vertical Line Examples

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Vertical Line Definition

We define a vertical line as a line in which all points have the same x-coordinate. In other words, a line that is perpendicular to the x-axis and parallel to the y-axis is called Vertical Line....

Vertical Line on Coordinate Plane

Coordinate Plane is a plane that is formed by the intersection of the x-axis and the y-axis. So any line parallel to the y-axis is called the vertical line. A vertical line has a fixed x-coordinate and a variable y-coordinate. The general point on a vertical line is (c, b) where c is constant and the value of b changes accordingly....

Equation of Vertical Line

The equation of the vertical line is given as,...

Example of Vertical Lines

There are various scenarios where we see vertical lines in real life and some of them are we see vertical lines at the corner of the building these lines run across the height of the building, and the height of a tree or a mountain is measured using a vertical line....

Slope of Vertical Line

For a vertical line, the slope of the line is undefined. This can be understood by the definition of the slope of the line as,...

Properties of Vertical Lines

Vertical lines have some special properties that include,...

Difference between Horizontal Line and Vertical Line

There are key differences between both vertical lines and horizontal lines, some of these differences are listed in the following table:...

Vertical Line Test

Vertical line test is a test that tells us whether a given graph is a function or not. Any relation is considered a function if any vertical line drawn along the graph of the relation intersects the graph only at one point. We know that for any relation to be considered a function it only has one output for every input. And thus, if the vertical line cuts the graph of the given relation more than once then it is not a function....

Vertical Line of Symmetry

A line running from the top to the bottom of any figure that divides the figure into two identical halves that are mirror images of each other is called the vertical line of symmetry....

Vertical Line Summary

All the basic of the vertical lines can be summarized as,...

Vertical Line Examples

Example 1: Find the equation of the vertical line passing through the point (1, -1)....

Vertical Lines – FAQs

What are Vertical Lines?...

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