Introduction to Graph X and Y
The graph of x and y-axis also referred to as the graph x and y axis, are two crucial lines in the 2-D plane. A graph can represent data on both the horizontal and vertical axes. A graph makes it simple to understand how a point might be defined vertically or horizontally.
A graphical depiction of data requires the X- and Y-axis. The coordinate plane is made up of these axes. The information is positioned in coordinates based on how far it is from the X- and Y-axes. Complicated equations can be solved more easily using graphics.
To better understand, let's learn more about the line graph x and y axis in Mathematics, the table, the charts, and answer a few cases.
Definition for Line Graph x and y Axis
The two axes, the x-axis, and the y-axis, that makes up a graph's coordinate plane can be used to define a graph x and y-axis. The x-axis and y-axis stand in for the horizontal and vertical axes.
The origin, which serves as the plane's referencing point, is where the x and y axes cross.
X and Y Axis
The graph of the x-axis or graph of x is also referred to as the abscissa. The graph of the y-axis is also referred to as the ordinate. Any point on the coordinate plane is well defined by an ordered pair, which is written as (x-coordinate,y-coordinate) or (x,y), where x-coordinate denotes a point on the x-axis or at a perpendicular angle from the y-axis and y-coordinate denotes a point on the y-axis or at a perpendicular angle from the x-axis.
Each perpendicular line in an x and y graph represents one of the four quadrants with positive and negative coordinates.
Quadrants in a Graph
Example: Number of minutes of commercials in one hour of television since 2009-
We use an ordered pair to find any point on the coordinate plane. The ordered pair is written as (x-coordinate,y-coordinate) or (x, y), where x-coordinate denotes a point on the x-axis or perpendicular distance from the y-axis and y-coordinate denotes a point on the y-axis or perpendicular distance from the graph of x-axis.
As we can see, each point's location on the graph is indicated by an ordered pair, with the x-axis or x-coordinate coming first and the y-axis or y-coordinate coming second. Using years as the x-axis and the number of minutes of commercials in one hour of television as the y-axis, depict these points as follows on the x and y chart.
Example of X and Y Graph
Line Graph- x and y-axis
A horizontal x-axis and a vertical y-axis make up the line graph. These axes often cross around the bottom of the y-axis and the left end of the x-axis because the majority of line graphs only deal with positive numerical values. The intersection of the axes is always at (0,0). A data type is listed next to each axis. The x-axis could represent days, weeks, quarters, or years, for instance, while the y-axis displays revenue in dollars.
Line Graph with X and Y-axis
Graph of Relation (Relation Graph)
The set of all points (x, y) in a coordinate plane such that x is related to y by the relation R is known as the graph of a relation R. It is possible to graph a relation (relation graph) made up of infinitely many ordered pairs of numbers using just point plotting.
Illustration: The given diagram shows a relation graph.
$R=\{(2,5),(4,3),(6,1),(2,7)\}$
Relation Graph
Solved Examples
Q 1. Draw a line graph to represent the data from the table.
Ans:
Q 2. A number of weeks vs rainfall. Plot the graph from the given data
Week- 1 2 3 4 5
Rainfall - 23 21 17 19 24
Ans:
Practice Problems
Q 1. Plot a line graph from the given data of x and y respectively.
Q 2. Draw the line graph showing the following table.
Q 3. Draw the line graph:
Summary
A line graph has two axes: a horizontal x-axis and a vertical y-axis (vertical). The sites where the axes connect each indicate a distinct type of data, and (0, 0). Because its values are independent of any variables being measured, the x-axis is known as the independent axis. In the given article we have discussed the X and Y graphs. Definition of X and Y graphs and graph x and y-axis are given with the graph of relation in this article.
FAQs on Line Graph X and Y axis
1. What is a Line Graph? What are the Uses of Line Graphs?
By line graph definition, line graphs are the pictorial representation of data in the form of lines which may be either straight lines or curved lines. If the graphs contain straight lines, then they are called linear graphs. The uses of line graphs are extensive in the field of statistics, science, mathematics, economics, business, psychology, medicine and many more. In real life it is used to compare the variation of any two quantities at different instants. It helps to easily establish a relationship between the quantities by comparing them. For example, the variation of temperature during different days of the month can be represented in the form of a line graph.
2. What are the Different Types of Graphs?
A graph is a diagrammatic representation of varying quantities. The different types of graphs include:
Pictorial Graphs: It is the visual representation of data using symbols, pictures and icons.
Line Graphs: The representation of variation of data in the form of straight or curved lines. There are different types of line graphs.
Bar Graphs: Representation of data variation in the form of bars or rectangles of different heights.
Histograms: Representation of data in the form of bars of different heights. However, it is different from bar graphs because the bars are attached to each other indicating the continuous data variation.
Frequency Polygons: It is similar to line graphs. However, it is constructed by joining the observations at the mid point of each interval.
Pie Charts: It is a type of pictorial representation in which the data is represented in the form of sectors or segments of a circle.
3. Can you tell how many quadrants are present in the x and y graph?
An x and y graph can be defined using the two axes, the x-axis and the y-axis, that make up a graph's coordinate plane. The horizontal and vertical axes are represented by the x-axis and y-axis, respectively. The intersection of the x and y axes is known as the origin, which also acts as the plane's referring point. Each perpendicular line in an x and y graph represents one of the four quadrants with both positive and negative coordinates.
There are a total of 4 quadrants-
Quadrant I - (+,+)
Quadrant II - (-,+)
Quadrant III - (-,-)
Quadrant IV - (+,-)
4. What are the different types of graphs?
Most common types of charts and graphs to help communicate data with impact:
Bar chart, Line graph, Area graph, Scatter plot, Pie chart, Pictograph, Column chart, Bubble chart.
5. When was a graph first used?
The term graph was initially used in this application by the 19th-century Englishman James Sylvester, one of numerous mathematicians interested in counting certain forms of diagrams representing molecules.