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The image shows a graph of a line, and the question asks to find the slope of the line, where the slope measures the steepness. The line passes through several points on the coordinate plane, and the answer choices are:

A. \( \frac{6}{7} \)
B. \( \frac{7}{6} \)
C. \( -\frac{7}{6} \)
D. \( -\frac{6}{7} \)

### Step 1: Identify two points on the line
From the graph, the line passes through the following points:
- \( (-6, -6) \)
- \( (0, 0) \)

### Step 2: Calculate the slope
The formula for the slope of a line between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \( (-6, -6) \) and \( (0, 0) \):

\[
\text{slope} = \frac{0 - (-6)}{0 - (-6)} = \frac{6}{6} = 1
\]

The slope of the line is \( 1 \), which does not match any of the given answer choices exactly. However, by closely looking at the possible options and how they might relate to the visual steepness, we can conclude that the slope in this case was not directly represented by the answer choices.

Would you like further explanation or have questions about this problem?

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Here are 5 related questions:
1. How is slope related to the angle a line makes with the horizontal?
2. Can a vertical line have a defined slope?
3. How do you find the slope if only given the graph and no coordinates?
4. What is the slope of a line parallel to the one in this question?
5. How does changing the slope affect the steepness of a line?

**Tip:** A positive slope indicates the line is rising as you move from left to right, while a negative slope indicates the line is falling.

If slope measures the steepness of a line, what is the slope of the line?

This problem asks to calculate the slope of a line passing through the points (-6, -6) and (0, 0). Using the slope formula, we solve for the slope of the line and discuss key algebraic concepts. Suitable for students in Grades 7-9.

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