On which axis does the point (5, 0)lie?a)originb)y-axisc)x-axisd)None ...
Understanding Coordinate Points
When dealing with coordinate points in a two-dimensional plane, each point is represented by an ordered pair (x, y). The first number, x, indicates the horizontal position, while the second number, y, denotes the vertical position.
Analyzing the Point (5, 0)
The point (5, 0) has the following characteristics:
- x-coordinate: 5
- y-coordinate: 0
This means that the point is located 5 units to the right of the origin (0,0) along the x-axis and has no vertical displacement since the y-coordinate is 0.
Identifying the Axes
To understand where the point lies, we can look at the definitions of the axes:
- Origin: The point (0, 0) where the x-axis and y-axis intersect.
- y-axis: The vertical line where x is always 0 (points like (0, 1), (0, -2)).
- x-axis: The horizontal line where y is always 0 (points like (1, 0), (-2, 0)).
Conclusion
Since the y-coordinate of the point (5, 0) is zero, it indicates that the point lies directly on the x-axis.
- Therefore, the correct answer is option 'C': the point (5, 0) lies on the x-axis.