Q3. Determine which quadrant each of the points A, B, C, D, and E are located in on the graph shown below. If a point does not lie within any of the quadrants, state "none." Then write the ordered pair each point represents.

Background

Topic: Coordinate Plane and Quadrants

This question tests your understanding of the coordinate plane, how to identify the location of points, and how to write ordered pairs. You also need to know how to determine which quadrant a point is in, or if it lies on an axis.

Key Terms and Concepts:

• Quadrant: The coordinate plane is divided into four quadrants: Quadrant I: (+, +) Quadrant II: (−, +) Quadrant III: (−, −) Quadrant IV: (+, −)

• Ordered Pair: A point is written as (x, y), where x is the horizontal position and y is the vertical position.

• If a point lies on an axis, it is not in any quadrant.

Step-by-Step Guidance

1. Look at the graph and identify the coordinates (x, y) for each labeled point A, B, C, D, and E. Write down the ordered pair for each point.

2. Recall the rules for quadrants:

   • Quadrant I: x > 0, y > 0

   • Quadrant II: x < 0, y > 0

   • Quadrant III: x < 0, y < 0

   • Quadrant IV: x > 0, y < 0

3. For each point, check the signs of x and y to determine the quadrant. If either x = 0 or y = 0, the point is on an axis and not in any quadrant.

4. Fill in the table with the quadrant and ordered pair for each point but stop before writing the final answers for all points.

Try solving on your own before revealing the answer!