Let's analyze the given graph to fill in the required details.

Observations from the graph:

1. Slope (m): The line moves upwards from left to right, indicating a positive slope. From the graph, the rise is 1 unit, and the run is 1 unit, meaning the slope is $m = 1$.

2. Y-intercept (b): The line crosses the y-axis at $y = 0$. So, the y-intercept is $b = 0$.

3. Equation of the Line: Since the slope $m = 1$ and the y-intercept $b = 0$, the equation of the line is: $y = mx + b = x$

4. X-intercept: The x-intercept is the point where the line crosses the x-axis. From the graph, this occurs at $x = 0$.

5. Starting Point: The starting point, based on the y-intercept, is $(0, 0)$.

6. $f(0)$ or $y$ when $x = 0$: Substituting $x = 0$ into the equation $y = x$, we get $f(0) = 0$.

Summary of Key Features:

• Equation: $y = x$
• Slope: 1
• X-intercept: 0
• Starting Point: $(0, 0)$
• $f(0)$: 0

Would you like more details or have any other questions?

Here are 5 related questions to expand on:

1. How would the graph change if the slope were negative?
2. What is the relationship between the slope and the steepness of the line?
3. How would the equation change if the line had a different y-intercept?
4. What happens to the graph if the slope is 0?
5. Can you write the equation of a line parallel to this one?

Tip: The slope is a measure of how steep a line is. A positive slope means the line rises as you move to the right, while a negative slope means it falls.