Name the quadrant or axis where each point lies.

Question

(5, 2):
(-3, -2):
(0, 5):
(6, -6):

Answer 1

To determine the location of each point, we can analyze their coordinates based on the Cartesian coordinate system where:

• Quadrant I: \( (x > 0, y > 0) \)
• Quadrant II: \( (x < 0, y > 0) \)
• Quadrant III: \( (x < 0, y < 0) \)
• Quadrant IV: \( (x > 0, y < 0) \)
• The x-axis: points where \( y = 0 \)
• The y-axis: points where \( x = 0 \)

Now, let's categorize the given points:

1. (5, 2):

   • \( x = 5 \) (positive), \( y = 2 \) (positive)
   • This point lies in Quadrant I.

2. (-3, -2):

   • \( x = -3 \) (negative), \( y = -2 \) (negative)
   • This point lies in Quadrant III.

3. (0, 5):

   • \( x = 0 \) (on the y-axis), \( y = 5 \) (positive)
   • This point lies on the y-axis.

4. (6, -6):

   • \( x = 6 \) (positive), \( y = -6 \) (negative)
   • This point lies in Quadrant IV.

To summarize:

• (5, 2): Quadrant I
• (-3, -2): Quadrant III
• (0, 5): y-axis
• (6, -6): Quadrant IV