x and y axis in graph - Definition, Equation, Examples (2024)

x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively. In this mini-lesson, we will learn about the x-axis and y-axis and what is x and y-axis in geometry along with solving a few examples.

1.X and Y-Axis Definition
2.X and Y-Axis Equation
3.What Comes First: X-Axis or Y-Axis?
4.FAQs on X and Y Axis

X and Y-Axis Definition

Any point on the coordinate plane is well defined by an ordered pair where the ordered pair is written as (x-coordinate,y-coordinate) or (x,y), where x-coordinate represents a point on the x-axis or perpendicular distance from the y-axis and y-coordinate represents a point on the y-axis or perpendicular distance from the x-axis. X and y-axis are the axes used in coordinate systems that form a coordinate plane. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane. The x-axis is also known as abscissa or x graph whereas the y-axis is also known as ordinate or y graph. The image below shows the respective representation.

x and y axis in graph - Definition, Equation, Examples (1)

For example: The population of a city from 2015 to 2020 is given in the X and Y graph table as:

Years201520162017201820192020
People in Millions11.522.533.5

To locate any point on the coordinate plane, we use an ordered pair where the ordered pair is written as (x-coordinate,y-coordinate) or (x, y), where x-coordinate represents a point on the x-axis or perpendicular distance from the y-axis and y-coordinate represents a point on the y-axis or perpendicular distance from the x-axis, therefore it is clear from above that x-axis comes first when writing the ordered pair to locate a point. We can see here that the location of each point on the graph is noted as an ordered pair where the x-axis or x-coordinate leads the y-axis or y-coordinate. Then to represent these points on the x and y chart, using years on the x-axis and the corresponding population on the y-axis as:

x and y axis in graph - Definition, Equation, Examples (2)

X and Y-Axis Equation

Let's consider a linear equation y = 2x+1. Now to graph this equation construct a table having two columns for values of x and y. To draw the x and y-axis coordinate graph of the linear equation, we need to draw the X and Y-axis grid table for at least two points.

x y
01
13
25

Now draw the points on the graph where the values of x lie on x-axis and the corresponding values of y lie on y-axis. Then join the points with a straight line to draw the graph of the equation.

x and y axis in graph - Definition, Equation, Examples (3)

What Comes First: X-Axis or Y-Axis?

To locate any point on the coordinate plane, we use an ordered pair where the ordered pair is written as (x-coordinate,y-coordinate) or (x,y), where x-coordinate represents a point on the x-axis or perpendicular distance from the y-axis and y-coordinate represents a point on the y-axis or perpendicular distance from the x-axis, therefore it is clear from above that x-axis comes first when writing the ordered pair to locate a point. We can see here that the location of each point on the graph is noted as an ordered pair where the x-axis or x-coordinate leads the y-axis or y-coordinate.

x and y axis in graph - Definition, Equation, Examples (4)

Important Notes:

  • x-axis is also called abscissa.
  • y axis is also called ordinate.
  • There are infinite points on the x-axis and y-axis.
  • Origin is the intersection point of x-axis and y-axis.

Related Topics

Listed below are a few interesting topics related to x and y axis.

  • Introduction to Graphing
  • Geometry
  • Polar Coordinates

FAQs on X and Y Axis

What are the 4 Quadrants in a Graph?

The four quadrants or x and y-axis quadrants are as follows:

  • Quadrant 1: Is the positive side of both x and y axis.
  • Quadrant 2: Is the negative side of x axis and positive side of y axis.
  • Quadrant 3: Is the negative side of both x and y axis.
  • Quadrant 4: Is the negative side of y axis and positive side of x axis.

How Do I Graph an Equation?

To graph an equation, first construct a table having two columns for values of x and y. Then draw the points on the graph where the values of x lie on the x-axis and the corresponding values of y lie on the y-axis. Then join the points to draw the graph of the equation.

Which Point is on the Negative y-axis?

The point which has a negative value of its y-coordinate is on the negative y-axis.

Which is x and y-axis?

The horizontal axis is known as the x-axis and the vertical axis is known as the y-axis.

How Do you Plot a Graph with the x and y-axis?

At first, we draw and label the x and y-axis. Then we plot the coordinates of the function at various values of the x and y-coordinates. Then we connect the coordinates and plot the graph of a function.

What is the Name of the y-axis?

The vertical axis is known as the abscissa-axis.

What is the Name of the x-axis?

The x-axis is known as the ordinate-axis.

x and y axis in graph - Definition, Equation, Examples (2024)
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