Let's analyze the graphs in the image you uploaded to estimate the x- and y-intercepts for both graphs.

For Graph 11:

• 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 $y = -2$.
  • Therefore, the y-intercept is $(0, -2)$.

• 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 $x = 4$.
  • Therefore, the x-intercept is $(4, 0)$.

For Graph 12:

• The y-intercept is the point where the line crosses the y-axis.

  • The line crosses the y-axis at $y = 2$.
  • Therefore, the y-intercept is $(0, 2)$.

• The x-intercept is the point where the line crosses the x-axis.

  • The line crosses the x-axis at approximately $x = 4$ (it's an estimate based on the graph).
  • Therefore, the x-intercept is $(4, 0)$.

Would you like further details or have any questions about these intercepts?

Here are five questions to expand on this concept:

1. How do you calculate the slope of a line using intercepts?
2. What is the equation of the line for each graph based on the intercepts?
3. Can you determine the slope-intercept form $y = mx + b$ from these graphs?
4. How would these intercepts change if the line were steeper?
5. How do x- and y-intercepts help in solving linear equations graphically?

Tip: To find intercepts from a graph, set one variable to zero and solve for the other!