Horizontal Line Equation Calculator
Discover the simplicity of horizontal lines. Enter a y-coordinate and instantly visualize the equation and the line on an interactive graph.
Enter the y-coordinate to calculate the equation of the horizontal line.
Line Visualization
Understanding Horizontal Lines
A horizontal line is a straight line that is parallel to the x-axis in a Cartesian coordinate system. The equation of a horizontal line is always in the form y = k, where k is a constant representing the y-intercept, i.e., the value where the line crosses the y-axis. For any value of x, the y-value on a horizontal line remains the same.
Examples:
- The equation y = 3 represents a horizontal line passing through all points where the y-coordinate is 3.
- Similarly, y = -2 is a horizontal line passing through all points with a y-coordinate of -2.
Horizontal lines have a slope of zero, indicating no vertical change for any horizontal movement. They are fundamental in geometry and algebra, representing constant y-values across the domain of x-values.