Use the table to answer the question.

x
𝑥
y
𝑦
−6

6
5
−4

4
2
−2

2
−1

1
Graph the points in the coordinate plane from the data values in the table.(1 point) .

1 answer

To graph the points from the table you provided, we will plot the coordinates given by the pairs of \( (x, y) \):

  1. \( (-6, 5) \)
  2. \( (-4, 2) \)
  3. \( (-2, -2) \)
  4. \( (-1, -1) \)

Steps to Graph the Points:

  1. Label the axes: Draw a horizontal line for the x-axis and a vertical line for the y-axis. Mark numbers along both axes.

  2. Plot the points:

    • For \( (-6, 5) \): Move 6 units left on the x-axis and 5 units up on the y-axis.
    • For \( (-4, 2) \): Move 4 units left on the x-axis and 2 units up on the y-axis.
    • For \( (-2, -2) \): Move 2 units left on the x-axis and 2 units down on the y-axis.
    • For \( (-1, -1) \): Move 1 unit left on the x-axis and 1 unit down on the y-axis.
  3. Label the points (optional): You can label the points with their coordinates for clarity.

Example Visualization:

      y
      ↑
  6   |     ● (-6,5)
      |
  5   |
      |
  4   |
      |
  3   |
      |
  2   |        ● (-4,2)
      |
  1   |
------|----------------→ x
 -2   |        ● (-2,-2)  ● (-1,-1)
      |
 -1   |
      |
 -4   |
      |
 -5   |
      |
 -6   |

In the above sketch, the points are plotted based on the coordinates you provided. Adjust the scale as necessary to fit all the points clearly on your graph.