Question

for ach point identify the axis or quadrant where the point is located drag and drop the choices into the boxes to complete the table x- axis y- axis quadrant 11 quadrant 111 quadrant IV 0,6, B 5, -2, C -1, 10, D 5,0 E 8.7,2 .3 F -1/4 -6/1/2

Answer 1

To identify the location of each point with respect to the x-axis, y-axis, and quadrants, we can use the following information:

- **Quadrant I**: x > 0, y > 0
- **Quadrant II**: x < 0, y > 0
- **Quadrant III**: x < 0, y < 0
- **Quadrant IV**: x > 0, y < 0
- **On the x-axis**: y = 0 (x can be any value)
- **On the y-axis**: x = 0 (y can be any value)

Now, let's analyze each point:

1. **Point B (0, 6)**:
- Located on the y-axis (since x = 0).

2. **Point C (5, -2)**:
- x > 0 and y < 0 → Located in Quadrant IV.

3. **Point D (-1, 10)**:
- x < 0 and y > 0 → Located in Quadrant II.

4. **Point E (5, 0)**:
- Located on the x-axis (since y = 0).

5. **Point F (-1/4, -6/1/2)**:
- First, simplify the second coordinate: -6/1/2 = -6 * 2/1 = -12, so the point is (-1/4, -12).
- x < 0 and y < 0 → Located in Quadrant III.

Now, we can complete the table based on the analysis:

| Point | Location |
|-------|------------------|
| B | y-axis |
| C | Quadrant IV |
| D | Quadrant II |
| E | x-axis |
| F | Quadrant III |

This table properly identifies where each point is located according to the provided options.