To find the equation of the line in slope-intercept form, we need to identify the slope and y-intercept from the graph.

1. Identify the y-intercept: The y-intercept is the point where the line crosses the y-axis. From the graph, it appears that the line crosses the y-axis at $y = 7$. So, the y-intercept $b = 7$.

2. Determine the slope (m):

   • Choose two points on the line. The two visible points are $(0, 7)$ and $(2, 3)$.
   • The slope $m$ is calculated as: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{2 - 0} = \frac{-4}{2} = -2$

3. Write the equation: Using the slope-intercept form $y = mx + b$, where $m = -2$ and $b = 7$, we get: $y = -2x + 7$

So, the equation of the line is: $y = -2x + 7$

Would you like a more detailed explanation, or do you have any other questions?

Here are some related questions to further your understanding:

1. How do you determine the slope if the line passes through two points?
2. What does the slope indicate about the direction of the line?
3. How would the equation change if the y-intercept was different?
4. Can a vertical line be represented in slope-intercept form?
5. How can you convert a point-slope form equation to slope-intercept form?

Tip: When identifying the slope, always ensure the points you choose are clearly on grid intersections to get an accurate calculation.