To write the equation of the line in slope-intercept form, we need to determine the slope ($m$) and the y-intercept ($b$).

1. Slope: Slope is calculated as the change in $y$ divided by the change in $x$. From the graph, the line passes through two clear points: (0, 0) and (5, 6).

   • The change in $y$ (rise) is $6 - 0 = 6$.
   • The change in $x$ (run) is $5 - 0 = 5$.
   • Therefore, the slope $m = \frac{\text{rise}}{\text{run}} = \frac{6}{5}$.

2. Y-intercept: From the graph, the y-intercept is clearly 0 since the line passes through the origin (0, 0).

So, the equation of the line in slope-intercept form ($y = mx + b$) is: $y = \frac{6}{5}x$

Thus, the correct answer is the second option: $y = \frac{6}{5}x$.

Would you like further explanation or details on any steps?

Here are five related questions to further explore:

1. How is the slope of a line determined when given two points?
2. What is the importance of the y-intercept in a linear equation?
3. How does changing the slope affect the steepness of a line?
4. Can you explain how to convert from standard form to slope-intercept form?
5. What happens if a line has a negative slope?

Tip: The slope is positive when a line moves upward from left to right, and negative when it moves downward.