Quadrant

Quadrants are defined as four infinite regions that are divided into four infinite regions by the axes (x and y) of a two-dimensional Cartesian plane system. The horizontal line, also known as the x-axis, and the vertical line, sometimes known as the y-axis, intersect at a right angle. The reference point is defined as the point at which two lines cross each other. To begin, this point serves as the reference (or starting point) for all subsequent measurements made in this coordinate system.

A quadrant is simply defined as the region of a cartesian plane generated when the x-axis and the y-axis cross each other in the same place on the plane.

Four quadrants

Based on such numbers, the graph is divided into portions, or four quadrants, which are represented by the lines.

• The first quadrant of the graph is located in the upper right-hand corner of the diagram. In this quadrant, the values of x and y are both positive, indicating a positive correlation.

• Second Quadrant: The second quadrant is located in the upper left-hand corner of the graph. It is worth noting that in this quadrant, the value of x is negative, while the value of y is positive.

• Third Quadrant: The third quadrant is located in the lower left-hand corner of the graph. It contains both the negative values of x and the negative values of y.

• 4th Quadrant: Finally, the fourth quarter is located in the lower right-hand corner, where the x and y values are both positive, indicating that it is a positive quarter.

Sign conventions in quadrants to indicate agreement

When we look at the XY plane, we can see that the value of x on the horizontal line, or x-axis, grows as we move from left to right. Similar to the x-axis, when we walk from one end to the other, we see an increase in the value of y. Because the plane is divided into four quadrants, each point on the plane will have a distinct sign for x and y because the plane is divided into four quadrants.

We can conclude the following from the information presented in the above table:

In the first quadrant, both x and y will be positive; in the second quadrant, x will be negative and y will be positive; in the third quadrant, both negative and positive values of x and y will be positive; and in the fourth quadrant, both positive and negative values of x will be negative; in the fifth quadrant, both positive values of x and y will be negative; and in the sixth quadrant, both positive and negative values of y will be negative.

What exactly is Origin?

In a cartesian plane, the origin is the point at where the x-axis and the y-axis cross at their intersection. The point represents the starting place (0,0). As a result, the values of x and y at the origin are both equal to zero.

Conclusion

As we all know, the points in a cartesian plane are determined by the x-axis and the y-axis, respectively. The points are represented by the ordered pair (x, y), where x denotes the x-coordinate (also known as abscissa) and y denotes the y-coordinate (also known as ordinate) (also called ordinate). In order to map the point in a quadrant, we must first determine which way the coordinates are pointing. These two numbers will represent the distance that the point is from the x-axis as well as the distance that it is from the y-axis.

If we want to plot the coordinates of the point (-3, 4) in the cartesian plane, we can use this example. We can tell that the point is in the second quadrant based on the indications of the coordinates of the point. As a result, when the origin is used as a reference point, it will be at a distance of 3 from the x-axis and 4 from the y-axis, respectively.