Introduction to Graph Quadrants
For coordinate geometry concept of quadrants are very important. Also while plotting a graph on a 2-D graph paper, we must know about graph quadrants. Furthermore, the two intersecting lines in the Cartesian plane make four distinct graph quadrants.
This x-axis and y-axis of a graph divide it into four quadrants. Moreover, each quadrant includes a combination of positive and negative values for coordinates x and y. In this topic, we will discuss graph quadrants and their examples.
Definition of Graph Quadrants
The coordinate plane or Cartesian plane is a basic concept but essential for coordinate geometry. Furthermore, a two-dimensional graph is known as a Cartesian plane.
It includes negative and positive values of both x and y. Thus a graph is divided into four quadrants, or sections, on the basis of those values.
Types of Graph Quadrants
Quadrant I: The first quadrant is available in the upper right-hand corner of the plane. Both x and y happen to consist of positive values in this quadrant.
Quadrant II: The second quadrant happens to be in the upper left-hand corner of the plane. Moreover, X has negative values in this quadrant and y has positive values.
Quadrant III: The third quadrant is in the bottom left corner of the plane. Furthermore, both x and y have negative values in this quadrant.
Quadrant IV: The fourth quadrant is in the bottom right corner of the plane. In this coordinate X has positive values and y has negative values.
The 4 Graph Quadrants Rule
There are four graph quadrants which make up the Cartesian plane. Each graph quadrant has a distinct combination of some positive and negative values. It is essential to represent a point on the plane. The rule-based on the sign of the x and y coordinates are as follows:
First Quadrants:: (+,+)
Second Quadrants :: (-,+)
Third Quadrants:: (-,-)
Fourth Quadrants:: (+,-)
Numbers are plotted on graph quadrants in ordered pairs. These ordered pairs will represent the coordinates of a point. It will locate the point uniquely on the two-dimensional plane.
An ordered pair will consist of two values, x, and y. In an ordered pair, always x is the first value and y is the second value. For example, in the ordered pair (5, -2) 5 is the x-value and -2 is y- value.
Also, when plotting an ordered pair, the x value refers to the point’s horizontal position on the graph. Similarly, y-value refers to the vertical position.
(5, 4) I
(-5, 4) II
(-5, -4) III
(5, -4) IV
Also, there are also points that do not lie on any of the four quadrants. Furthermore, as x-axis will have y- coordinate zero for every point. Moreover, y-axis will have x-coordinate zero for every point.
For example: (1, 0), (-1, 0), (0, 2) and (0, -5) are not on any of the four quadrants. Moreover, they lie on the x-axis or y-axis.
(1, 0) and (-1, 0) both points will lie on the x-axis.
(0, 2) and (0, -5) both points will lie on the y-axis.
Solved Questions for You
Q.1: Identify the quadrants in which the points (−4,2), and (3,−8) are located.
- First and second quadrants respectively
- Second and third quadrants respectively
- Second and fourth quadrants respectively
- Both in the second quadrant
Ans: Correct Answer is C. Because (-,+) is for the Second quadrant. And (+,-) is for Fourth Quadrants.
Q.2: (0,0) coordinate will represent which point on the graph plane?
Ans: It is the point where both coordinate values will be zero. furthermore, this is called an origin point. Moreover, it is the point of intersection of axes.