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The equation provided is \( y = \frac{2}{5}x + 2 \). This is in slope-intercept form, where the slope \( m \) is \( \frac{2}{5} \) and the y-intercept is \( 2 \).

### Let's break it down:

1. **Slope \( \left( m = \frac{2}{5} \right) \)**: This tells us that for every increase of 5 units in the x-direction, the graph will rise by 2 units in the y-direction (a positive slope).
2. **Y-intercept (b = 2)**: The line crosses the y-axis at the point (0, 2).

### Now, looking at the graphs:
- We need to identify the graph that crosses the y-axis at \( y = 2 \) and has a positive slope that rises to the right. From the four options:
  - **Graph W** matches this description: it crosses the y-axis at 2 and has a positive slope.

Thus, **Graph W** represents the equation \( y = \frac{2}{5}x + 2 \).

Would you like more details on the solution, or do you have any questions?

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Here are 5 related questions you might want to explore:
1. How do you find the slope from two points on a line?
2. What is the significance of the y-intercept in real-life situations?
3. How does the slope of a line affect the steepness of a graph?
4. Can you convert an equation from slope-intercept form to standard form?
5. What happens to a graph when the slope is negative?

**Tip**: The slope of a line tells you how the y-value changes with respect to the x-value. A larger slope means a steeper line.

Which of the following graphs represents the equation y = (2/5)x + 2?

Find out which graph represents the equation y = (2/5)x + 2. Learn how the slope (m = 2/5) and y-intercept (b = 2) affect the line's position and slope. Suitable for students in Grades 8-10.

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