The question asks which table represents a line having a y-intercept of -3 when graphed. The y-intercept is the point where the line crosses the y-axis, meaning the value of $y$ when $x = 0$.

Let's analyze the tables one by one.

• Option A:

  • For $x = 0$, $y = 4$, which is not -3. This is incorrect.

• Option B:

  • For $x = 0$, $y = -3$, which matches the required y-intercept of -3. This is correct.

• Option C:

  • For $x = 0$, $y = 2$, which is not -3. This is incorrect.

• Option D:

  • For $x = 0$, $y = 3$, which is not -3. This is incorrect.

Therefore, Option B is the correct answer.

Would you like more details or have any other questions?

Here are 5 related questions for further exploration:

1. What is the general equation of a line and how do you find its y-intercept?
2. How does the slope affect the appearance of a line on a graph?
3. What is the significance of the y-intercept in real-world problems?
4. Can you explain how to find the slope of a line from a table of values?
5. How can you identify a linear relationship from a set of points?

Tip: The y-intercept can always be found by locating the value of $y$ when $x = 0$ in an equation or table.