Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Join our community to receive prompt, thorough responses from knowledgeable experts.
Sagot :
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.
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.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.