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The equation given is \( 5x + y = -9 \). 

To find the **x-intercept**, we set \( y = 0 \) and solve for \( x \):

\[
5x + 0 = -9 \implies 5x = -9 \implies x = \frac{-9}{5}
\]

So, the **x-intercept** is \( \frac{-9}{5} \).

Would you like details on how to find the **y-intercept** next? Here are some related questions:

1. How do you find the y-intercept of this equation?
2. Can this equation be rewritten in slope-intercept form?
3. How do x- and y-intercepts relate to graphing linear equations?
4. What is the importance of intercepts in real-world applications?
5. How can the x-intercept be interpreted if it's a decimal?

**Tip:** When finding intercepts, always set the opposite variable to zero!

Find the x- and y-intercepts of the graph: 5x + y = -9. The x-intercept is ___ (Type an integer or a simplified fraction.)

Learn how to find the x- and y-intercepts of the linear equation 5x + y = -9. This step-by-step guide demonstrates how to solve for intercepts by setting one variable to zero and solving for the other, suitable for Grades 7-10 students.

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