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?

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.