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

1 answer

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.