1. What is a Horizontal Line?

A horizontal line is a straight line that runs left to right and has a slope of zero. It is parallel to the x-axis and all points on the line have the same y-coordinate.

2. How to Calculate Horizontal Lines

The equation for a horizontal line is:

Where:

• \( c \) — Constant value (y-coordinate of all points on the line)

Explanation: Since the slope is zero, the line doesn't rise or fall as it moves along the x-axis. All points share the same y-value.

3. Properties of Horizontal Lines

Details: Horizontal lines have a slope of 0, are parallel to the x-axis, and their equations contain only the y-variable with a constant value.

4. Using the Calculator

Tips: Enter the constant value (y-coordinate) to generate the equation of the horizontal line. The calculator will display the equation in the form y = c.

5. Frequently Asked Questions (FAQ)

Q1: What is the slope of a horizontal line?
A: The slope of a horizontal line is always 0.

Q2: How do you identify a horizontal line from its equation?
A: A horizontal line equation contains only the y-variable equal to a constant (e.g., y = 5).

Q3: Can a horizontal line be a function?
A: Yes, horizontal lines are functions since they pass the vertical line test - each x-value corresponds to exactly one y-value.

Q4: What is the x-intercept of a horizontal line?
A: A horizontal line y = c has no x-intercept unless c = 0, in which case it's the x-axis itself.

Q5: How do horizontal lines appear on a graph?
A: Horizontal lines appear as straight lines parallel to the x-axis, neither rising nor falling as they extend left or right.