To find \( f(-2) \) for the function \( f(x) = 6x + 5 \), substitute \(-2\) for \(x\) in the equation:

\[
f(-2) = 6(-2) + 5
\]

Calculate this step-by-step:

\[
f(-2) = -12 + 5
\]

\[
f(-2) = -7
\]

So, \( f(-2) = -7 \).

Would you like a detailed explanation of the steps, or do you have any questions?

Here are some related questions for further exploration:

1. What is the slope of the linear function \( f(x) = 6x + 5 \)?
2. How would you find the x-intercept of the function \( f(x) = 6x + 5 \)?
3. What is the y-intercept of \( f(x) = 6x + 5 \)?
4. How do you determine if a function is linear or nonlinear?
5. How would you graph the function \( f(x) = 6x + 5 \)?

**Tip:** For linear functions in the form \( f(x) = mx + b \), \( m \) represents the slope, and \( b \) is the y-intercept.

Learn how to find f(-2) for the linear function f(x) = 6x + 5. This step-by-step solution uses substitution in functions and covers core algebraic concepts. Suitable for students in Grades 6-8.

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