The point (0, 4) lies on which of the following:a)x-axisb)y-axisc)orig...
There are no units for x-coordinate and 5 units of y- coordinate . So the point lies on the y-axis.
The point (0, 4) lies on which of the following:a)x-axisb)y-axisc)orig...
Understanding the Coordinate System
In a two-dimensional coordinate system, points are represented by an ordered pair (x, y), where "x" is the horizontal position and "y" is the vertical position.
Analyzing the Point (0, 4)
- The point (0, 4) has:
- x-coordinate: 0
- y-coordinate: 4
Identifying the Axes
- x-axis: This is the horizontal line where y = 0. Points on this line have a zero y-coordinate (e.g., (1, 0), (-2, 0)).
- y-axis: This is the vertical line where x = 0. Points on this line have a zero x-coordinate (e.g., (0, 1), (0, -3)).
- Origin: The point (0, 0) is known as the origin, where both x and y coordinates are zero.
Conclusion: Which Axis Does (0, 4) Lie On?
- The point (0, 4):
- Has an x-coordinate of 0, placing it on the y-axis.
- The y-coordinate is 4, meaning it is positioned 4 units above the origin along the y-axis.
Thus, the correct answer is option B: it lies on the y-axis.
Final Note
Understanding coordinates helps in visualizing points in space and allows us to determine their positions relative to the axes.