To write the equation of the line from the graph, let's follow these steps:

1. Determine the slope:

   • The slope of a line is the change in $y$ divided by the change in $x$ (often called "rise over run"). Looking at the graph:
     • The line passes through the points $(0, 4)$ and $(2, 0)$.
     • The change in $y$ (from 4 to 0) is $-4$, and the change in $x$ (from 0 to 2) is $+2$.
     • Slope $m = \frac{-4}{2} = -2$.

2. Find the y-intercept:

   • The y-intercept is where the line crosses the y-axis. From the graph, the line crosses the y-axis at $y = 4$, so the y-intercept is $4$.

3. Write the equation:

   • Using the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept:
     • Slope $m = -2$, and y-intercept $b = 4$.
     • The equation of the line is: $y = -2x + 4$

Would you like more details on how I derived the slope, or do you have any questions?

Here are 5 related questions you might find helpful:

1. How do you calculate the slope if you're given two points?
2. What is the significance of the y-intercept in a graph?
3. How do you convert a standard form equation into slope-intercept form?
4. How would the equation change if the line had a positive slope?
5. How do you determine the x-intercept of a line from its equation?

Tip: Always identify two clear points on the graph to calculate the slope accurately.