Question: Think about the point $(0,4)$. Where do you think this point is located?
on the x-axis
on the y-axis
at the origin
1. The problem asks us to determine the location of the point $(0,4)$ on the coordinate plane.
2. Recall the definitions:
- The x-axis is the horizontal axis where points have coordinates $(x,0)$.
- The y-axis is the vertical axis where points have coordinates $(0,y)$.
- The origin is the point $(0,0)$ where the x-axis and y-axis intersect.
3. The given point is $(0,4)$, which means the x-coordinate is $0$ and the y-coordinate is $4$.
4. Since the x-coordinate is $0$, the point lies somewhere on the y-axis.
5. Because the y-coordinate is $4$ (not $0$), the point is not at the origin.
6. Therefore, the point $(0,4)$ is located on the y-axis, above the origin.
**Final answer:** The point $(0,4)$ is on the y-axis.