Given \( x = -6 \) and \( f(x) = -4 \), it seems you're looking for the equation of a function \( f(x) \).

The simplest equation that satisfies this condition is:

\[
f(x) = m(x + 6) - 4
\]

However, without additional information, the most straightforward function that satisfies this is a constant function:

\[
f(x) = -4
\]

This equation means that for any value of \( x \), the output of the function \( f(x) \) will always be \(-4\).

Would you like more details or have any questions about this? Here are some related questions you might explore:

1. What if \( f(x) \) was a linear function? What would the equation look like?
2. How do you find the equation of a quadratic function given more points?
3. What if \( f(x) = ax + b \)? How do you determine \( a \) and \( b \)?
4. What does the graph of \( f(x) = -4 \) look like?
5. How does knowing the value of \( f(x) \) at one point help in determining the equation?

**Tip:** Knowing just one point on a function provides limited information. More points or constraints are usually needed to fully determine the function's equation.

Explore the equation of a function f(x) given specific values: x = -6 and f(x) = -4. Learn how to determine the equation of a function using key mathematical concepts. Suitable for Grades 7-9.

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