https://file.aiquickdraw.com/mathbot/file/1729470336642smpmkq91.jpg

https://file.aiquickdraw.com/mathbot/file/1729470336643oe9ljp9t.jpg

To solve this, let's focus on identifying the **y-intercept** of the equation provided in the image, which is:

\[
y = -\frac{3}{5}x + 3
\]

In this equation, the **y-intercept** is represented by the constant term, which is \( b = 3 \). This means the line intersects the y-axis at \( (0, 3) \).

Now, looking at the graph:

- The **y-intercept** is the point where the line crosses the y-axis (when \( x = 0 \)).
- Based on the graph, the y-axis is labeled vertically, and the left gray circle is near the intersection of the line with the y-axis at **(0, 3)**.

Therefore, the **correct answer is the left gray circle** since it corresponds to the y-intercept point of \( (0, 3) \).

Would you like more details or have any other questions? Here are some follow-up questions to consider:

1. How can you identify the slope from the equation of a line?
2. What is the significance of the slope in this equation?
3. How would the graph change if the y-intercept were negative?
4. What happens to the graph if the slope is steeper (e.g., \(-\frac{5}{5}\) instead of \(-\frac{3}{5}\))?
5. Can you explain how the slope and y-intercept interact in determining the line's position?

**Tip**: The y-intercept is always the point where \( x = 0 \) in a linear equation.

Learn how to identify the y-intercept from the linear equation y = (-3/5)x + 3 using graphing techniques. Understand the significance of the slope and intercept when plotting lines. Suitable for students in Grades 7-9.

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