https://file.aiquickdraw.com/mathbot/file/1728333138826gc12uloc.jpg

To determine which proportion represents the slope of the line containing points \( R \), \( S \), and \( T \), we first need to calculate the slope.

### Step 1: Identify the Coordinates
From the graph, we can extract the coordinates of points \( R \), \( S \), and \( T \):
- \( R (-11, 6) \)
- \( S (2, -6) \)
- \( T (-4, -4) \)

### Step 2: Calculate the Slope
The slope of a line between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

We'll calculate the slope using both points \( R(-11, 6) \) and \( S(2, -6) \).

\[
\text{slope of RS} = \frac{-6 - 6}{2 - (-11)} = \frac{-12}{13}
\]

Now, we can check the answer choices to see which one correctly represents this slope.

### Step 3: Evaluate Answer Choices
- **Choice A:**
  \[
  \frac{6 - (-4)}{-11 - (-6)} = \frac{6 + 4}{-11 + 6} = \frac{10}{-5} = -2 \quad \text{(incorrect)}
  \]
  
- **Choice B:**
  \[
  \frac{6 - (-4)}{-11 - (-6)} = \frac{10}{-5} = -2 \quad \text{(incorrect)}
  \]

- **Choice C:**
  \[
  \frac{-11 - (-6)}{6 - (-4)} = \frac{-11 + 6}{6 + 4} = \frac{-5}{10} = -\frac{1}{2} \quad \text{(incorrect)}
  \]

- **Choice D:**
  \[
  \frac{6 - (-4)}{-11 - (-6)} = \frac{10}{-5} = -2 \quad \text{(incorrect)}
  \]

It seems none of these matches

Which proportion can be used to represent the slope of the line containing R, S, and T?

Learn how to determine the slope of a line containing points R, S, and T using proportions in similar right triangles. This problem involves key coordinate geometry concepts such as the slope formula and proportional relationships, and is suitable for students in grades 8-10.

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