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The problem shows a graph of a linear function and asks which equation correctly models the graph. Let me analyze it.

### Observing the Graph:
- The line crosses the y-axis at \( y = 2 \), which gives us the **y-intercept**.
- The slope of the line can be determined by checking how the line increases as \( x \) increases.

From the graph, the line appears to rise by 2 units for every 1 unit increase in \( x \), giving a **slope** of 2.

### Linear Equation Format:
The general form of a linear equation is \( y = mx + b \), where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

Given the slope is 2 and the y-intercept is 2, the equation should be \( y = 2x + 2 \).

### Answer:
The correct equation that represents the graph is:
**Option D: \( y = 2x + 2 \)**.

Would you like further clarification or details on how to determine slopes from graphs? Here are some related questions:

1. How do you find the slope of a line from a graph?
2. What is the difference between the slope-intercept form and the point-slope form of a line?
3. How do you determine the y-intercept from a graph?
4. What does the slope of a line represent in real-world problems?
5. Can a linear function have a negative slope? How does that change the graph?

**Tip**: The slope represents the rate of change in the \( y \)-value for each unit change in \( x \), and it can be calculated as \( \frac{{\Delta y}}{{\Delta x}} \).

La función que modela esta gráfica es: a) y = 3x, b) y = 2x, c) y = 2x - 2, d) y = 2x + 2.

Analyze a linear graph to find the correct equation in slope-intercept form. This problem covers essential algebraic concepts such as slope, y-intercept, and linear equation formulas. Suitable for students in Grades 8-10.

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