To determine the intercepts of the line shown in the graph:

1. Finding the y-intercept:

The y-intercept occurs where the line crosses the y-axis. At this point, the x-coordinate is always $0$.

• From the graph, the line crosses the $y$-axis at $y = 4$.
• Therefore, the $y$-intercept is $(0, 4)$.

2. Finding the x-intercept:

The x-intercept occurs where the line crosses the x-axis. At this point, the y-coordinate is always $0$.

• From the graph, the line crosses the $x$-axis at $x = -8$.
• Therefore, the $x$-intercept is $(-8, 0)$.

Final Answer:

• $y$-intercept: $(0, 4)$
• $x$-intercept: $(-8, 0)$

Would you like further details on the process or any additional examples?

5 Related Questions:

1. How do you find the intercepts of a line algebraically using its equation?
2. What is the significance of the slope in relation to the intercepts of a line?
3. How can you use two points to calculate the equation of the line?
4. How are intercepts useful in real-world applications of linear equations?
5. What is the general form of a linear equation, and how can it reveal the intercepts directly?

Tip:

When solving for intercepts, remember that setting one variable to zero simplifies the equation, allowing you to solve for the other variable.