# What is Horizontal Line? Difference Between Horizontal and Vertical line

 Table of Content

## Definition of Horizontal Line

A line is said to be horizontal when a straight line goes from left to right or right to left parallel to the horizon of the X-axis. In other words, in the coordinate plane, a line drawn parallel to the X-axis is called a horizontal line. The horizontal line never touches X-axis in the coordinate plane, and the vertical line is always perpendicular to the horizontal line.

### Slope of the Horizontal Line

Slope of the horizontal line is always zero.

The horizontal line intercepts on the Y-axis; it does not intercept X-axis. When we compare the equation with the general equation of the line, we get

The general equation of line Y = mx + b and Y = b m = 0.

The slope of a horizontal line never is positive or negative. It's always zero.

Also check: Ascending Order

### Equation of Horizontal Line

The equation of the horizontal line is always Y = b.

As we discussed above, the horizontal line never touches the X-axis, and the horizontal line's slope is zero. Thus the equation of a horizontal line through any point(a,b) is in the form of Y = b.

For example,

Y = 3

Y = -1

Y = 6 etc.

Also Check: Types of Angles

### How to construct Horizontal Line

Use these simple steps to construct a horizontal line.

1. To draw a horizontal line, you have data of X and Y points.
2. Mark the points on the XY plane.
3. Considering X and Y values, draw a line parallel to the X-axis.

#### Examples:

Draw a horizontal line Y = 5.

Draw a horizontal line Y = -2.

### Difference Between Horizontal & Vertical Line

 Horizontal Line Vertical Line Parallel to X-axis Perpendicular to the horizontal line. Can be drawn left to right or right to left Can be drawn upward to downward or vice-versa. Represent in the form of Y = b Represent in the form of X = c Examples- Y=5, Y=3, Y=-4, etc Examples- X=2, X=7, X=-4 etc.

### Solved Examples

Q1. Find the equation of the horizontal line passing through the point (3,6)?

Ans. The general equation of the line in the form of slope intercepts is y = mx + b.

As we know, the slope of a horizontal line is zero, m = 0

Equation of the horizontal line passing through the point (3,6)

Y = (0)x + 6

Y = 6

Hence Y = 6 is the required equation for the horizontal line.

Q2. Identify the equation of the horizontal line given in the figure.

Ans. Y=2

### Frequently Asked Question (FAQs)

Q1. Define horizontal line?

Ans. A line drawn parallel to the horizon or X-axis in a coordinate plane is a horizontal line.

Q2. What is the equation of the horizontal line?

Ans. The equation of any horizontal line is Y = b.

Q3. What is the slope of the horizontal line?

Ans. The slope of the horizontal line is zero.

Q4. What is the shape of a horizontal line?

Ans. The horizontal line is parallel to the X-axis, running left to right or right to left in the coordinate plane.