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To find the values of \( m \) (the slope) and \( b \) (the y-intercept) for the line, we can use the slope-intercept form of a linear equation, which is:

\[
y = mx + b
\]

From the graph:

1. **Y-intercept (\( b \)):** This is where the line crosses the y-axis. Looking at the graph, the red line crosses the y-axis at \( y = 2 \). Therefore, \( b = 2 \).

2. **Slope (\( m \)):** The slope is the "rise over run," or the change in \( y \) divided by the change in \( x \). Let's use two clear points on the line. We can see the line passes through:
   - \( (-4, -2) \)
   - \( (0, 2) \)
   
   The slope is calculated as:

   \[
   m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - (-2)}{0 - (-4)} = \frac{4}{4} = 1
   \]

Thus, the values are:
- \( m = 1 \)
- \( b = 2 \)

Would you like any further explanation or clarification on this?

### Related questions:
1. What is the general form of a linear equation?
2. How do you calculate the slope if the points are not visible clearly on a graph?
3. Can you explain the meaning of a positive vs. negative slope?
4. How can you find the equation of a line if only given the slope and one point?
5. What happens to the graph if the slope or intercept changes?

### Tip:
The y-intercept (\( b \)) is always the point where the line crosses the y-axis, and the slope (\( m \)) determines the steepness and direction of the line.

Find the values of m (slope) and b (y-intercept) from the given graph.

Learn how to find the values of the slope (m) and y-intercept (b) from a linear graph. This problem covers essential algebraic concepts, including the slope formula and the y-intercept point, suitable for students in Grades 8-10.

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