Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Plot each point in the xy-plane. Identify the quadrant or coordinate axis where each point lies.

[tex]\[
\begin{array}{l}
A = (2, -6) \\
B = (-8, 3) \\
C = (0, 1) \\
D = (-3, -1) \\
E = (1, 0)
\end{array}
\][/tex]

In which quadrant or on what axis does point A lie?

A. Quadrant III
B. Quadrant IV
C. None, because the point is on the y-axis
D. None, because the point is on the x-axis
E. Quadrant I
F. Quadrant II

Sagot :

GinnyAnsweridn
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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.