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.