To write the equation of the line in slope-intercept form (which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept), let's analyze the graph.

1. Finding the slope $m$:

   • The slope $m$ is calculated as: $m = \frac{\text{rise}}{\text{run}}$ From the graph, we can observe two points the line passes through:
   • Point 1: $(0, 5)$ (the y-intercept)
   • Point 2: $(5, 0)$

   The rise (change in $y$) between these two points is $-5$ (from 5 to 0), and the run (change in $x$) is $5$ (from 0 to 5).

   Therefore, the slope $m$ is: $m = \frac{-5}{5} = -1$

2. Finding the y-intercept $b$: The y-intercept is the value of $y$ when $x = 0$. From the graph, the line crosses the y-axis at $y = 5$. Therefore, $b = 5$.

Thus, the equation of the line is: $y = -x + 5$

Would you like more details on how to interpret the graph, or any other questions?

Here are 5 related questions to explore:

1. What is the significance of the slope in the slope-intercept form?
2. How can you find the x-intercept from the equation of a line?
3. How would the equation change if the slope was positive?
4. Can you graph a line given only its equation in slope-intercept form?
5. How can you calculate the distance between two points on a graph?

Tip: When finding the slope, always check for a clear vertical and horizontal distance (rise and run) between two points on the line.