To analyze the points plotted by CJ and Marlon, let's first clarify the coordinates of the point they were asked to plot, which is \((-6 \frac{1}{2}, 3)\). This can also be written as \((-6.5, 3)\).
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Determine the correct quadrant:
- The x-coordinate is \(-6.5\), which is between \(-6\) and \(-7\), meaning it is on the left side of the y-axis.
- The y-coordinate is \(3\), which is a positive number, indicating that the point lies above the x-axis.
- Therefore, the point \((-6.5, 3)\) is located in Quadrant 2, where x is negative and y is positive.
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Evaluate CJ's and Marlon's placements:
- CJ placed the point between \(-6\) and \(-7\), and said it is in Quadrant 2. This is correct because \((-6.5, 3)\) does indeed belong to Quadrant 2.
- Marlon also placed the point between \(-6\) and \(-7\) but indicated that it is in Quadrant 4. This is incorrect because Quadrant 4 is where x is positive and y is negative.
Conclusion:
- CJ is correct in both the position and the quadrant of the point \((-6.5, 3)\).
- Marlon made the mistake of incorrectly identifying the quadrant; he placed the point in Quadrant 4 while it actually belongs in Quadrant 2.