To determine in which quadrant or on what axis the given points lie, we need to examine the coordinates of each point and then classify them based on their x and y values. Let's break this down step by step.
1. Point A = (2, -6)
- x-coordinate: 2 (positive)
- y-coordinate: -6 (negative)
- Since the x-coordinate is positive and the y-coordinate is negative, Point A lies in Quadrant IV.
2. Point B = (-8, 3)
- x-coordinate: -8 (negative)
- y-coordinate: 3 (positive)
- Since the x-coordinate is negative and the y-coordinate is positive, Point B lies in Quadrant II.
3. Point C = (0, 1)
- x-coordinate: 0
- y-coordinate: 1 (positive)
- Since the x-coordinate is 0 and the y-coordinate is non-zero, Point C lies on the y-axis.
4. Point D = (-3, -1)
- x-coordinate: -3 (negative)
- y-coordinate: -1 (negative)
- Since both the x-coordinate and y-coordinate are negative, Point D lies in Quadrant III.
5. Point E = (1, 0)
- x-coordinate: 1 (positive)
- y-coordinate: 0
- Since the y-coordinate is 0 and the x-coordinate is non-zero, Point E lies on the x-axis.
Now, the question specifically asks about Point A. Based on our analysis, Point A has the coordinates (2, -6), placing it in Quadrant IV.
Therefore, the correct answer is:
B. Quadrant IV.
