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,
Slope of a line = Change in y-coordinate/ Change in x-coordinate
OR
m = (y2 – y1) / (x2 – x1)
For a vertical line, we know that the x-coordinate never changes, and thus x2 = x1 = x, so x2 – x1 = 0
⇒ m = (y2 – y1)/0 = Undefined
Thus, the slope of the vertical line is undefined.
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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