The equation given is \( y = -3x - 7 \). 

In the slope-intercept form of a linear equation, which is \( y = mx + b \), the \( b \) represents the y-intercept.

Here, \( b = -7 \).

So, the y-intercept is \( -7 \).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What is the slope of the line \( y = -3x - 7 \)?
2. How would the graph of \( y = -3x - 7 \) look?
3. What does the y-intercept represent on a graph?
4. If the equation were \( y = -3x + 7 \), what would the y-intercept be?
5. How would the equation change if the line passed through the origin?

**Tip:** The y-intercept is where the line crosses the y-axis, which occurs when \( x = 0 \).

Explore the concept of the y-intercept in linear equations with the example problem y = -3x - 7. Learn how to identify and interpret the y-intercept, which is crucial for graphing linear functions. Suitable for Grades 7-9 students studying algebra.

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