From the graph you provided, the task is to find the x-intercept and the y-intercept of the line.

1. X-intercept:

The x-intercept is the point where the line crosses the x-axis (where $y = 0$). From the graph, the line crosses the x-axis at $x = 4$.

Answer:

• $x\text{-intercept} = 4$

2. Y-intercept:

The y-intercept is the point where the line crosses the y-axis (where $x = 0$). From the graph, the line crosses the y-axis at $y = 2$.

Answer:

• $y\text{-intercept} = 2$

Let me know if you'd like further details or explanations!

Questions for deeper understanding:

1. How is the x-intercept determined from a linear equation?
2. How can we find the equation of the line from its intercepts?
3. What happens to the intercepts if the line is horizontal or vertical?
4. How does the slope affect the position of the intercepts?
5. Can a line have no x-intercept or y-intercept? Under what conditions?

Tip:

The slope of a line can be calculated using the intercepts and it is helpful in writing the equation of the line in slope-intercept form $y = mx + b$.