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To find the values of \( m \) (the slope) and \( b \) (the y-intercept) for the given line, we need to analyze the graph.

1. **Finding the slope \( m \)**:
   - The slope \( m \) is determined by the ratio of the change in \( y \) to the change in \( x \) between any two points on the line.
   - From the graph, two points on the line are clearly (0, 0) and (10, 10).

   \[
   m = \frac{\Delta y}{\Delta x} = \frac{10 - 0}{10 - 0} = \frac{10}{10} = 1
   \]

2. **Finding the y-intercept \( b \)**:
   - The y-intercept \( b \) is the value of \( y \) when \( x = 0 \).
   - From the graph, it is clear that the line passes through the origin (0, 0), so \( b = 0 \).

Thus, the values are:
\[ m = 1 \]
\[ b = 0 \]

Would you like any further details or have any questions?

Here are five questions you might consider asking next:
1. How do you determine the equation of a line given two points?
2. What is the significance of the slope in the context of a graph?
3. How can you find the x-intercept of a line?
4. What are parallel and perpendicular lines and how do their slopes relate?
5. How do you convert the standard form of a line's equation to slope-intercept form?

**Tip:** When working with graphs, always ensure you accurately read the coordinates of the points to correctly determine the slope and intercepts.

Learn how to find the slope and y-intercept of a line using graph analysis with a step-by-step solution. This problem covers key concepts such as linear equations, slope calculation, and y-intercept determination. Suitable for students in Grades 7-9.

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