Horizontal Line

A horizontal line is a straight line that runs from left to right or right to left with a slope of 0. In other words, the line is parallel to the x-axis and has a constant y-coordinate, so all the points on the line have the same y-coordinate.

Equation of a Horizontal Line

The equation of a horizontal line is of the form y = k, where k is the y-coordinate of any point on the line. Since the line is horizontal, the value of y does not change, so it remains constant for all points on the line.

Graphing a Horizontal Line

To graph a horizontal line with equation y = k, simply draw a straight line that is parallel to the x-axis and passes through the point (0, k). All the points on the line will have the same y-coordinate, k.

Properties of a Horizontal Line

Some key properties of a horizontal line include:

• It has a slope of 0
• The y-intercept is (0, k)
• It is parallel to the x-axis

Study Guide

Here are some key points to remember about horizontal lines:

• A horizontal line has a slope of 0 and is parallel to the x-axis.
• The equation of a horizontal line is of the form y = k, where k is the constant y-coordinate.
• To graph a horizontal line, simply draw a straight line parallel to the x-axis with the given y-coordinate.
• Horizontal lines have a y-intercept at (0, k).

Practice graphing and identifying equations of horizontal lines to reinforce your understanding of this concept.