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The task asks for the equation of the line in slope-intercept form, which is written as:

\[
y = mx + b
\]

where \( m \) is the slope of the line, and \( b \) is the y-intercept (where the line crosses the y-axis).

### Step 1: Find the Slope (m)
The slope \( m \) is calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Looking at the graph, I can pick two points on the line:
- Point 1: \( (-8, -7) \)
- Point 2: \( (4, 3) \)

Now, let's compute the slope:

\[
m = \frac{3 - (-7)}{4 - (-8)} = \frac{3 + 7}{4 + 8} = \frac{10}{12} = \frac{5}{6}
\]

So, the slope \( m \) is \( \frac{5}{6} \).

### Step 2: Find the Y-Intercept (b)
The y-intercept \( b \) is the point where the line crosses the y-axis. From the graph, it can be seen that the line crosses the y-axis at \( y = -\frac{5}{6} \).

### Final Equation
The equation of the line in slope-intercept form is:

\[
y = \frac{5}{6}x - \frac{5}{6}
\]

Would you like further clarification on any part of the solution?

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Here are five related questions you might explore:
1. How would the equation change if the line had a steeper slope?
2. How can we derive the equation if we are given just the slope and a point on the line?
3. What is the significance of the y-intercept in real-world problems?
4. How do horizontal and vertical lines look in slope-intercept form?
5. How would you find the equation if the slope was negative?

**Tip:** When finding the slope of a line, always ensure to carefully choose points that lie exactly on grid intersections for accuracy.

Write the equation of this line in slope-intercept form.

Learn how to write the equation of a line in slope-intercept form based on a graph. This involves finding the slope and y-intercept, and applying the formula y = mx + b. Suitable for students in Grades 8-10.

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