https://file.aiquickdraw.com/mathbot/file/17286699984781qokdoe1.jpg

The problem asks, "Which table shows \(x\)- and \(y\)-values for three points on the line graphed below?" and provides a graph along with four table choices. To solve this, we need to identify the coordinates of three points that lie on the line in the graph and match them with the table options.

### Step 1: Identify points on the line
Looking at the graph of the line, we can pick three points where the line crosses grid intersections. The points that stand out are:
- \((-3, 3)\)
- \((0, 0)\)
- \((3, -3)\)

### Step 2: Compare with table options
We will now check which table matches these points:
- **Option A** lists the points: \((-3, 3)\), \((0, 0)\), and \((3, -3)\).

This matches the points we identified, so the correct answer is **Option A**.

Would you like more details, or have any questions?

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Here are some related questions:
1. How can you determine the slope of a line from a graph?
2. What is the equation of the line based on the points we found?
3. How do you find the \(y\)-intercept from a graph?
4. What is the relationship between slope and the direction of a line?
5. How can we verify that a point is on a line mathematically?

**Tip**: When identifying points from a graph, always look for points where the line crosses grid intersections for accuracy!

Which table shows x- and y-values for three points on the line graphed below?

Solve a coordinate geometry problem by identifying the correct x- and y-values for points on a graphed line. Suitable for students in Grades 6-8. Understand how to match points from the graph to tables based on their coordinates.

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