Question
On a coordinate plane, a point is 7 units up on the y-axis.
Which of the statements are true? Select all that apply.
The point is located at (7, 0).
The point is located at (0, 7).
The point is on the y-axis.
The point is on the x-axis.
The point is at the origin.
Which of the statements are true? Select all that apply.
The point is located at (7, 0).
The point is located at (0, 7).
The point is on the y-axis.
The point is on the x-axis.
The point is at the origin.
Answers
GPT-4o mini
Let's analyze the statements based on the information given that a point is 7 units up on the y-axis:
1. **The point is located at (7, 0).** - **False**. This point is 7 units along the x-axis, not the y-axis.
2. **The point is located at (0, 7).** - **True**. This point represents a location that is 7 units up on the y-axis.
3. **The point is on the y-axis.** - **True**. Any point that has an x-coordinate of 0 (like (0, 7)) is on the y-axis.
4. **The point is on the x-axis.** - **False**. The x-axis consists of points where the y-coordinate is 0, and in this case, the y-coordinate is 7.
5. **The point is at the origin.** - **False**. The origin is the point (0, 0), and the point is (0, 7).
Based on the analysis, the true statements are:
- The point is located at (0, 7).
- The point is on the y-axis.
1. **The point is located at (7, 0).** - **False**. This point is 7 units along the x-axis, not the y-axis.
2. **The point is located at (0, 7).** - **True**. This point represents a location that is 7 units up on the y-axis.
3. **The point is on the y-axis.** - **True**. Any point that has an x-coordinate of 0 (like (0, 7)) is on the y-axis.
4. **The point is on the x-axis.** - **False**. The x-axis consists of points where the y-coordinate is 0, and in this case, the y-coordinate is 7.
5. **The point is at the origin.** - **False**. The origin is the point (0, 0), and the point is (0, 7).
Based on the analysis, the true statements are:
- The point is located at (0, 7).
- The point is on the y-axis.