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Equation Of A Line Parallel To The X-Axis Or Y-Axis

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More Lessons for Geometry
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In this lesson, we will learn

  • what is the equation of a horizontal line or a line parallel to the x-axis.
  • how to graph the horizontal line using a T-table.
  • what is the equation of a vertical line or a line parallel to the y-axis.
  • how to graph the vertical line using a T-table.

Equation of Line Parallel to the x-axis

A line that is parallel to the x-axis and has a y-intercept of c. has the equation y = c. The line is a horizontal line with a slope of 0.


How to graph a horizontal line by using a table of values (T-table)?
Example:
Graph a line using a table of values.
y = -4

Equation of Line Parallel to the y-axis

A line that is parallel to the y-axis and has a x-intercept of a has the equation of x = a. The line is a vertical line that has no slope and no y-intercept. The slope is also said to be undefined.

How to graph a vertical line by using a table of values?
Example:
Graph a line using a table of values
x = 3



How to graph horizontal and vertical lines?
Example 1:
a) Graph y = -2.
b) The graph consists of all ordered pairs whose y-coordinate is -2.

Example 2:
a) Graph x = 3.
b) The graph consists of all ordered pairs whose x-coordinate is 3.

The graph of y = c or f(x) = c, a horizontal line, is the graph of a function. Such a function is referred to as a t function.
The graph of x = a, a vertical line is not the graph of a function.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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