Vertical Line Examples
Example 1: Find the equation of the vertical line passing through the point (1, -1).
Solution:
Given point (1, -1)
Equation of the vertical line passing through a point (h, k)
x = h
Substituting the values in the above equation we get,
x = 1
Thus, equation of the vertical line passing through the point (1, -1) is x = 1.
Example 2: Find the equation of the vertical line passing through the point (5, 9).
Solution:
Given point (5, 9)
Equation of the vertical line passing through a point (h, k)
x = h
Substituting the values in the above equation we get,
x = 5
Thus, equation of the vertical line passing through the point (5, 9) is x = 9.
Example 3: Find the equation of the vertical line when the x-intercept of the line is 5.
Solution:
Equation of the vertical line is,
x = h
where h is x-intercept
Given
- h = 5
Equation of the vertical line,
x = 5
Thus, the equation vertical line with x-intercept as 5 is, x = 5
Example 4: Find the equation of the vertical line when the x-intercept of the line is -11/3.
Solution:
Equation of the vertical line is,
y = k
where h is x-intercept
Given
- h = -11/3
Equation of the vertical line,
x = -11/3
3x = -11
3x + 11 = 0
Thus, the equation vertical line with x-intercept as -11/3 is, 3x + 11 = 0
Check:
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