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To find the equation of the line, we need to determine two things:

1. **Slope (m)**: The slope of the line is the ratio of the vertical change (rise) to the horizontal change (run). From the graph, we can observe two points on the line, for instance:
   - Point 1: (-6, 2)
   - Point 2: (0, 0)

   Using these points, we calculate the slope \( m \) as follows:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 2}{0 - (-6)} = \frac{-2}{6} = -\frac{1}{3}
   \]

2. **y-intercept (b)**: The y-intercept is where the line crosses the y-axis. In this case, the line crosses the y-axis at (0, 0), so the y-intercept \( b \) is 0.

Thus, the equation of the line is:
\[
y = -\frac{1}{3}x + 0
\]
or simply:
\[
y = -\frac{1}{3}x
\]

Would you like more details on this process or have any questions?

Here are 5 related questions to explore further:
1. How do you find the equation of a line given two points?
2. What does the slope of a line represent in practical terms?
3. How can you identify the y-intercept from a graph?
4. How does the sign of the slope affect the direction of the line?
5. Can you determine the equation of a line parallel to this one?

**Tip**: When the y-intercept is zero, the line passes through the origin, simplifying the equation!

Learn how to find the equation of a line using its graph. We calculate the slope from two points and determine the y-intercept to express the equation in slope-intercept form. This problem covers key concepts in algebra and graphing. Suitable for students in Grades 8-10.

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