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The equation given is \( y = \frac{3}{4}x - 3 \), which is in slope-intercept form, \( y = mx + b \), where:

- \( m = \frac{3}{4} \) is the slope
- \( b = -3 \) is the y-intercept.

### Steps to analyze:

1. **Y-Intercept**: The line intersects the y-axis at \( (0, -3) \), so the graph must pass through this point.
2. **Slope**: The slope is \( \frac{3}{4} \), meaning for every 4 units moved to the right on the x-axis, the line rises by 3 units on the y-axis.

Now, let's analyze the graphs:

- The **top-left** graph has a y-intercept of \( -3 \) and a positive slope, which appears to match \( \frac{3}{4} \). The line rises by 3 and runs by 4 correctly.
- The other graphs either have incorrect y-intercepts or incorrect slopes.

Thus, the **top-left graph** is the correct representation of the equation.

Would you like more details on how to graph lines, or do you have other questions?

### Related Questions:
1. How do you find the slope from two points?
2. What does a negative slope look like on a graph?
3. How does the slope-intercept form differ from point-slope form?
4. How can you check if a point lies on a given line?
5. What are other forms of linear equations besides slope-intercept form?

### Tip:
When graphing, always plot the y-intercept first, then use the slope to find another point.

Which graph represents the equation y = 3/4x - 3?

This problem involves graphing the linear equation y = 3/4x - 3 using the slope-intercept form. Learn how to determine the slope and y-intercept to correctly identify the graph. Suitable for students in Grades 8-10.

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