What is Horizontal Line? Difference Between Horizontal and Vertical line

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.

What is Horizontal Line

Graphical representation of Horizontal Line

Graphic Representation Of Horizontal Line

Slope of the Horizontal Line

Slope of 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

Equation Of Hrizontal 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

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.

Horizontal Line

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.

Talk to Our counsellor