-lies-in-which-quadrant.jpeg "(4 0) Lies In Which Quadrant")
Lie in Which Quadrant?
When dealing with coordinates in a two-dimensional plane, it's essential to understand which quadrant a point lies in. In this article, we'll explore the quadrants and determine which one the point (4, 0) lies in.
What are Quadrants?
A two-dimensional coordinate plane is divided into four quadrants, named I, II, III, and IV. The quadrants are formed by the x-axis and y-axis, which intersect at the origin (0, 0).
- Quadrant I: The upper-right quadrant, where x > 0 and y > 0.
- Quadrant II: The upper-left quadrant, where x < 0 and y > 0.
- Quadrant III: The lower-left quadrant, where x < 0 and y < 0.
- Quadrant IV: The lower-right quadrant, where x > 0 and y < 0.
Where does (4, 0) lie?
Now, let's examine the point (4, 0). The x-coordinate is 4, which is positive, and the y-coordinate is 0, which is neutral (neither positive nor negative).
Since the x-coordinate is positive and the y-coordinate is 0, the point (4, 0) lies on the x-axis. And, since it's in the positive x-axis, it falls in the right half of the coordinate plane.
The Answer
The point (4, 0) lies in Quadrant I, but more specifically, it lies on the x-axis, which is the boundary between Quadrant I and Quadrant IV.
In conclusion, the point (4, 0) is situated on the positive x-axis, making it a part of Quadrant I.
