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 $y = x$.