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Let's analyze the problem step by step.

The graph shows a line that has a negative slope. To find which equation represents the line, we need to consider two things:

1. **Slope**: The line is slanting downward from left to right, so the slope must be negative. 
2. **Y-intercept**: The point where the line crosses the y-axis appears to be at \( y = 3 \).

Let's review each option:

- **Option (a)**: \( y = -\frac{5}{4}x + 3 \)
    - The slope is \( -\frac{5}{4} \) (negative), and the y-intercept is 3. This matches the graph because the line has a negative slope and crosses the y-axis at 3.
  
- **Option (b)**: \( y = \frac{6}{5}x - 3 \)
    - The slope is \( \frac{6}{5} \) (positive), and the y-intercept is -3. This does not match the graph because the line has a positive slope here and a different y-intercept.
  
- **Option (c)**: \( y = 7x + 3 \)
    - The slope is \( 7 \) (positive), and the y-intercept is 3. This does not match the graph because the slope is positive.

So, the correct answer is **(a)**.

Would you like more details or have any questions?

Here are 5 related questions you can explore:
1. How do you calculate the slope of a line given two points?
2. What is the general form of a linear equation?
3. How can you find the slope from a graph?
4. How does changing the slope affect the steepness of a line?
5. What is the significance of the y-intercept in real-world applications?

**Tip**: Remember that a negative slope means the line moves downward from left to right!

Which of the following equation represents the line on the graph? a) y = -5/4x + 3 b) y = 6/5x - 3 c) y = 7x + 3

Learn how to identify the correct linear equation from a graph by analyzing the slope and y-intercept. This problem covers the key concept of slope-intercept form and is suitable for Grades 8-10.

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