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.

Answer 1

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.