Let's solve for \( f(-7) \).

The function given is:
\[
f(-7) = 5 - \frac{3}{7}(-7)
\]

First, simplify the fraction:
\[
\frac{3}{7}(-7) = -3
\]

Now substitute this into the equation:
\[
f(-7) = 5 - (-3)
\]

Simplify the expression:
\[
f(-7) = 5 + 3 = 8
\]

So, \( f(-7) = 8 \).

Would you like more details or have any questions?

Here are 5 related questions to practice:
1. What is \( f(7) \) if \( f(x) = 5 - \frac{3}{7}x \)?
2. How would the function change if the coefficient of \( x \) was \( \frac{4}{7} \) instead?
3. What is the slope of the function \( f(x) = 5 - \frac{3}{7}x \)?
4. What happens to the value of \( f(x) \) as \( x \to \infty \)?
5. How would you write the equation \( f(x) = 5 - \frac{3}{7}x \) in slope-intercept form?

**Tip:** When dealing with fractions and negative numbers, simplify carefully by treating each operation step by step to avoid errors.

Solve the function f(-7) = 5 - (3/7)(-7) with detailed steps. Learn how to simplify expressions and handle negative numbers in functions. This problem is ideal for students in Grades 6-8 and covers essential algebraic concepts.

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