Graphing Horizontal and Vertical Lines

Graphing horizontal and vertical lines is quite straightforward because their equations have a very simple form.

The following diagrams show how to graph horizontal and vertical lines. Scroll down the page for more examples and solutions on graphing horizontal and vertical lines.

 

Coordinate Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Coordinate Geometry Worksheets

1. Vertical Lines
   Equation:
   The equation of a vertical line is always of the form:
   x=a
   where ‘a’ is a constant number.
   Characteristics:
   All points on a vertical line have the same x-coordinate.
   The y-coordinate can be any real number.
   The line is parallel to the y-axis.
   The slope of a vertical line is undefined.
   How to Graph:
   Locate the point on the x-axis where x=a.
   Draw a straight line that passes through this point and goes directly up and down (parallel to the y-axis).

2. Horizontal Lines
   Equation:
   The equation of a horizontal line is always of the form:
   y=b
   where ‘b’ is a constant number.
   Characteristics:
   All points on a horizontal line have the same y-coordinate.
   The x-coordinate can be any real number.
   The line is parallel to the x-axis.
   The slope of a horizontal line is zero.
   How to Graph:
   Locate the point on the y-axis where y=b.
   Draw a straight line that passes through this point and goes directly left and right (parallel to the x-axis).

Equation of Vertical Line
Any line whose equation is in the form x = k, where k is a number, is a vertical line passing through (k, 0).

Equation of a Horizontal Line
Any line whose equation is in the form y = k, where k is a number, is a horizontal line passing through (0, k).

Graphing horizontal and vertical lines
Examples:

1. Graph y = -2
   
2. Graph x = 3

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The special cases of graphing horizontal and vertical lines which are in the form x=k or y=k, where k is any number.

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Graphing linear equations vertical and horizontal lines

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Explains characteristics of a horizontal line and how to write an equation of a horizontal line.

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Vertical - horizontal lines

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