From the graph in the image, the red line crosses the y-axis at $y = 6$, indicating the y-intercept ($b$) is 6. The slope ($m$) can be calculated by observing the rise over the run between two points on the line.

Using the points $(0, 6)$ and $(2, 4)$: $m = \frac{\text{rise}}{\text{run}} = \frac{4 - 6}{2 - 0} = \frac{-2}{2} = -1$

Thus, the equation in slope-intercept form is: $y = -x + 6$

Let me know if you'd like detailed explanations or have further questions!

Here are 5 related questions for practice:

1. How do you calculate the slope between two points?
2. What does the y-intercept represent in a linear equation?
3. How would the equation change if the slope were steeper?
4. Can you derive the equation of a horizontal line?
5. What happens to the graph if the y-intercept changes?

Tip: Always pick two clear points on the graph to determine the slope!