To determine the equation of the straight line in the graph:

1. Identify two points on the line: From the graph, we can choose points that the line passes through clearly. For example:

   • Point 1: (-6, -3)
   • Point 2: (0, 2)

2. Find the slope (m) using the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substituting the points: $m = \frac{2 - (-3)}{0 - (-6)} = \frac{2 + 3}{6} = \frac{5}{6}$

3. Find the y-intercept (c): The y-intercept is where the line crosses the y-axis. From the graph, this occurs at $y = 2$, so $c = 2$.

4. Write the equation in the form $y = mx + c$: $y = \frac{5}{6}x + 2$

Final Answer: The equation of the line is: $y = \frac{5}{6}x + 2$

Would you like me to verify this calculation further or explain any step in more detail?

Here are 5 related questions you might find interesting:

1. How do you determine the slope when given two points on a line?
2. What is the significance of the y-intercept in a line's equation?
3. How would the equation change if the slope were negative?
4. Can you find the equation of a line parallel to this one passing through another point?
5. What is the equation of a line perpendicular to this one passing through the origin?

Tip: To quickly check your work, substitute one of the given points into the final equation to ensure it holds true.