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The exercise in the image involves graphing linear equations and finding the x- and y-intercepts of the linear equations in questions 7 and 8. Here's a breakdown of how to approach these problems:

### Exercises 3-6: Graphing Linear Equations
- **3. \( x = 4 \)**: 
  This is a vertical line at \( x = 4 \), passing through all points where the x-coordinate is 4. The graph will be a straight vertical line crossing the x-axis at \( x = 4 \).

- **4. \( y = 2 \)**: 
  This is a horizontal line at \( y = 2 \), passing through all points where the y-coordinate is 2. The graph will be a straight horizontal line crossing the y-axis at \( y = 2 \).

- **5. \( y = -3 \)**: 
  This is a horizontal line at \( y = -3 \), passing through all points where the y-coordinate is -3. The graph will be a straight horizontal line crossing the y-axis at \( y = -3 \).

- **6. \( x = -1 \)**: 
  This is a vertical line at \( x = -1 \), passing through all points where the x-coordinate is -1. The graph will be a straight vertical line crossing the x-axis at \( x = -1 \).

### Exercises 7-8: Finding x- and y-Intercepts
To find the intercepts, we set \( y = 0 \) to find the x-intercept and \( x = 0 \) to find the y-intercept.

- **7. \( 2x + 3y = 12 \)**
  - **x-intercept**: Set \( y = 0 \).
    \[
    2x + 3(0) = 12 \quad \Rightarrow \quad x = 6
    \]
    The x-intercept is \( (6, 0) \).
  
  - **y-intercept**: Set \( x = 0 \).
    \[
    2(0) + 3y = 12 \quad \Rightarrow \quad y = 4
    \]
    The y-intercept is \( (0, 4) \).

- **8. \( 3x + 6y = 24 \)**
  - **x-intercept**: Set \( y = 0 \).
    \[
    3x + 6(0) = 24 \quad \Rightarrow \quad x = 8
    \]
    The x-intercept is \( (8, 0) \).
  
  - **y-intercept**: Set \( x = 0 \).
    \[
    3(0) + 6y = 24 \quad \Rightarrow \quad y = 4
    \]
    The y-intercept is \( (0, 4) \).

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:
1. How do you find the slope of a line given two points?
2. Can you explain how to graph a linear equation in slope-intercept form?
3. How do vertical and horizontal lines differ in terms of slope?
4. What is the general form of a linear equation?
5. How do you solve a system of linear equations graphically?

**Tip**: For vertical lines like \( x = 4 \), the slope is undefined, while for horizontal lines like \( y = -3 \), the slope is zero.

Graph the linear equations and find the x- and y-intercepts of the given equations.

Learn how to graph linear equations such as x = 4 and y = -3, and find x- and y-intercepts for equations like 2x + 3y = 12. This problem covers key algebraic concepts and is suitable for students in Grades 7-9.

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