Question

Name the quadrant or axis where each point lies.
(0, 8):
(5, -6):
(-4, -1):
(-5, 2):

Answer 1

To determine the quadrant or axis for each point, we can use the following rules:

1. **Quadrant I**: Both x and y are positive (x > 0, y > 0).
2. **Quadrant II**: x is negative, y is positive (x < 0, y > 0).
3. **Quadrant III**: Both x and y are negative (x < 0, y < 0).
4. **Quadrant IV**: x is positive, y is negative (x > 0, y < 0).
5. **On the x-axis**: y = 0 (x can be any value).
6. **On the y-axis**: x = 0 (y can be any value).
7. **The origin**: (0, 0) is where both axes intersect.

Now let's analyze the points provided:

1. **(0, 8)**: This point lies on the y-axis.
2. **(5, -6)**: This point lies in Quadrant IV (x > 0, y < 0).
3. **(-4, -1)**: This point lies in Quadrant III (x < 0, y < 0).
4. **(-5, 2)**: This point lies in Quadrant II (x < 0, y > 0).

To summarize:
- (0, 8): y-axis
- (5, -6): Quadrant IV
- (-4, -1): Quadrant III
- (-5, 2): Quadrant II