https://file.aiquickdraw.com/mathbot/file/17285168869434qrq2wn0.jpg

Let's analyze the relation given:  
\[
\{(-3, -2), (3, -5), (4, 0), (1, 6)\}
\]
This set of ordered pairs defines points on a coordinate plane, where the first number in each pair is the x-coordinate and the second number is the y-coordinate. Now, let's map each point on the graph:

1. \((-3, -2)\): Move 3 units left and 2 units down.
2. \((3, -5)\): Move 3 units right and 5 units down.
3. \((4, 0)\): Move 4 units right and stay on the x-axis (0 on the y-axis).
4. \((1, 6)\): Move 1 unit right and 6 units up.

From the four graphs in the image, the second graph from the top matches all these points. The selected graph shows:

- A point at \((-3, -2)\)
- A point at \((3, -5)\)
- A point at \((4, 0)\)
- A point at \((1, 6)\)

Therefore, the correct graph is the second one, which corresponds to the relation \(\{(-3, -2), (3, -5), (4, 0), (1, 6)\}\).

Would you like more details or have any questions? Here are some related questions:

1. How do you graph points on the coordinate plane?
2. What does it mean if a relation is a function?
3. How can you tell if a set of points is a function by looking at a graph?
4. What is the difference between a relation and a function?
5. How do you determine the domain and range of a relation?

**Tip:** Always remember that the x-coordinate tells you how far to move left or right, and the y-coordinate tells you how far to move up or down.

Which graph represents the relation {(-3, -2), (3, -5), (4, 0), (1, 6)}?

Learn how to graph the relation consisting of the points (-3, -2), (3, -5), (4, 0), and (1, 6) on a coordinate plane. This problem covers key concepts in graphing and interpreting relations, perfect for students in Grades 6-8.

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