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The given equation is:

\[
6x + 15y = -30
\]

### Finding the x-intercept:
- The x-intercept occurs when \( y = 0 \).
- Substitute \( y = 0 \) into the equation:

\[
6x + 15(0) = -30 \implies 6x = -30
\]

Solving for \( x \):

\[
x = \frac{-30}{6} = -5
\]

Thus, the x-intercept is \( (-5, 0) \).

### Finding the y-intercept:
- The y-intercept occurs when \( x = 0 \).
- Substitute \( x = 0 \) into the equation:

\[
6(0) + 15y = -30 \implies 15y = -30
\]

Solving for \( y \):

\[
y = \frac{-30}{15} = -2
\]

Thus, the y-intercept is \( (0, -2) \).

### Final Answer:
- x-intercept: \( (-5, 0) \)
- y-intercept: \( (0, -2) \)

Would you like more details or have any other questions?

### Related Questions:
1. How do you graph a linear equation using the intercepts?
2. What is the general form of a linear equation, and how can you convert it to slope-intercept form?
3. How can we find the slope of the line from this equation?
4. What is the relationship between intercepts and the slope of the line?
5. How do we interpret intercepts in real-world problems?

### Tip:
When solving for intercepts, remember that for the x-intercept, set \( y = 0 \), and for the y-intercept, set \( x = 0 \).

Identify the x-intercept and the y-intercept of the graph of 6x + 15y = -30.

Explore how to find the x-intercept and y-intercept for the linear equation 6x + 15y = -30. This guide provides a step-by-step approach to solving for intercepts, useful for students in grades 7-9.

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