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kerjakan nomor 4 dengan koefisien X = 2, 0, - 2 dan -4 dan untuk y-nya yaitu nomor 1. 2 x    2.  - 2x + 5 dan 3.  2x - 5   4. -2x - 5 

The question you've provided asks how the graph of a linear equation behaves if the coefficient of \( x \) is positive, and how it behaves otherwise. Let's analyze each given equation based on the coefficients of \( x \) provided (2, 0, -2, and -4):

1. **Equation 1: \( y = 2x \)**  
   Coefficient of \( x \) = 2 (positive)  
   The graph of this equation is a straight line passing through the origin with a positive slope, indicating that the line rises as \( x \) increases.

2. **Equation 2: \( y = -2x + 5 \)**  
   Coefficient of \( x \) = -2 (negative)  
   This line also passes through the y-intercept at \( y = 5 \) and has a negative slope, indicating that the line falls as \( x \) increases.

3. **Equation 3: \( y = 2x - 5 \)**  
   Coefficient of \( x \) = 2 (positive)  
   This equation describes a line with a positive slope, passing through the y-intercept at \( y = -5 \). The line rises as \( x \) increases.

4. **Equation 4: \( y = -2x - 5 \)**  
   Coefficient of \( x \) = -2 (negative)  
   The graph has a negative slope and passes through the y-intercept at \( y = -5 \). The line falls as \( x \) increases.

### Summary
- Lines with a **positive coefficient** of \( x \) (**Equations 1 and 3**) have a **rising** trend as \( x \) increases.
- Lines with a **negative coefficient** of \( x \) (**Equations 2 and 4**) have a **falling** trend as \( x \) increases.

Do you need more details or help with any other questions? Here are some follow-up queries you might find interesting:

1. How does the value of the y-intercept affect the position of the line on the graph?
2. What happens to the graph if the coefficient of \( x \) is increased or decreased?
3. Can you explain how to find the slope and y-intercept from the equation of a line?
4. What is the significance of the slope in the context of real-world problems?
5. How would the graph change if the equations were transformed into inequalities?

**Tip:** Remember, the slope of a line in the form \( y = mx + b \) is given by \( m \), and it describes how steep the line is. A positive slope means the line goes up as you move from left to right, and a negative slope means it goes down.

Kerjakan nomor 4 dengan koefisien X = 2, 0, -2 dan -4 dan untuk y-nya yaitu nomor 1. 2x, 2. -2x + 5, 3. 2x - 5, 4. -2x - 5

Analyze how the graph of a linear equation behaves with different coefficients for x (2, 0, -2, -4) in equations like y = 2x, y = -2x + 5, y = 2x - 5, and y = -2x - 5. Learn about the impact of positive and negative slopes on the graph's direction.

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