To graph the points from the table you provided, we will plot the coordinates given by the pairs of \( (x, y) \):
- \( (-6, 5) \)
- \( (-4, 2) \)
- \( (-2, -2) \)
- \( (-1, -1) \)
Steps to Graph the Points:
-
Label the axes: Draw a horizontal line for the x-axis and a vertical line for the y-axis. Mark numbers along both axes.
-
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.
-
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.