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The task here is to graph the inverse of the provided line on the coordinate plane, using at least 5 points. Let's break down how to approach this:

### Step 1: Identify the original line
- The original line appears to pass through points \((-10, 4)\) and \((10, -6)\) on the graph.

### Step 2: Understanding the inverse of a function
- To graph the inverse of a line, we reflect the line over the line \(y = x\).
- The inverse of a function is obtained by swapping the coordinates of each point on the original graph.

### Step 3: Key points to inverse
Take a few points on the original line:
1. Point \((-10, 4)\)
   - Inverse: \((4, -10)\)
2. Point \((0, 1)\)
   - Inverse: \((1, 0)\)
3. Point \((10, -6)\)
   - Inverse: \((-6, 10)\)

### Step 4: Plot at least 5 points for the inverse
You should now plot at least 5 points by taking original points from the line and swapping their coordinates. Here's a list of potential points:
- Original: \((-10, 4)\) → Inverse: \((4, -10)\)
- Original: \((0, 1)\) → Inverse: \((1, 0)\)
- Original: \((10, -6)\) → Inverse: \((-6, 10)\)
- You can find more points along the line, such as \((-5, 2.5)\) or \((5, -2.5)\), and swap them accordingly.

Would you like further clarifications or more details on how to graph this? Here are some related questions:

1. How do you find the inverse of nonlinear functions graphically?
2. What are the characteristics of a function that has an inverse?
3. How would the graph change if the line had a positive slope instead of a negative slope?
4. What is the algebraic method for finding the inverse of a linear function?
5. Can every function have an inverse? Why or why not?

### Tip:
Always remember that the inverse of a function reflects over the line \(y = x\).

Graph the inverse of the provided graph on the accompanying set of axes. You must plot at least 5 points.

This problem involves graphing the inverse of a line by reflecting it over the line y = x. Key concepts include inverse functions, coordinate geometry, and plotting points. Suitable for high school students learning about inverses of linear functions.

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