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Plot each point in the xy-plane. Tell in which quadrant or on what coordinate axis each point lies.

[tex]\[
\begin{array}{l}
A=(2,-6) \\
B=(-8,3) \\
C=(0,1) \\
D=(-3,5) \\
E=(1,0)
\end{array}
\][/tex]

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

In which quadrant or on what axis does the point B lie?

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

In which quadrant or on what axis does the point C lie?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. None, because the point is on the [tex]$y$[/tex]-axis
E. Quadrant I
F. None, because the point is on the [tex]$x$[/tex]-axis



Answer :

GinnyAnswer
To determine in which quadrant or on what coordinate axis each point lies, follow these steps for each point:

1. Identify the coordinates of the point.
2. Analyze the signs of the x and y coordinates to determine the location in the Cartesian plane.

Let's analyze each point one by one:

### Point B (-8, 3)
- The x-coordinate is -8 (negative) and the y-coordinate is 3 (positive).
- A point with a negative x-coordinate and a positive y-coordinate lies in Quadrant II.

So, the correct answer for point B is:
B. Quadrant II

### Point C (0, 1)
- The x-coordinate is 0 and the y-coordinate is 1 (positive).
- A point with x = 0 and any non-zero y-coordinate lies on the y-axis.

So, the correct answer for point C is:
D. none, because the point is on the y-axis

### Answer Summary
- Point B lies in Quadrant II.
- Point C lies on the y-axis and hence in none of the quadrants, specifically: none, because the point is on the y-axis.

Thus, based on our analysis:
- For point B: B. Quadrant II
- For point C: D. none, because the point is on the y-axis

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