Question
CJ and Marlon were asked to plot the point (-6 1/2, 3) on a coordinate grid. Their work is shown.(2 points) Who is correct? What mistake did the other make? CJ had his point between -6 and -7, 3 on quadrant 2. Mrlon had the point in-between -6 and -7, 3 on quadrant 4.
Answers
GPT-4o mini
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 \((-6.5, 3)\).
1. **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.
2. **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.
1. **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.
2. **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.