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Name the quadrant or axis where each point lies.

(0, 8):
(5, -6):
(-4, -1):
(-5, 2):

1 answer

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