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To find the zero of the linear function, we need to determine when \( f(x) = 0 \).

The function given is:

\[
f(x) = -2x + 15
\]

To find the zero, set \( f(x) = 0 \):

\[
0 = -2x + 15
\]

Now solve for \( x \):

\[
2x = 15 \quad \text{(add \( 2x \) to both sides)}
\]

\[
x = \frac{15}{2} = 7.5
\]

So, the zero of the function occurs at \( x = 7.5 \).

Would you like further clarification or more details on the steps? 

Here are 5 related questions to expand your understanding:

1. What is the significance of finding the zero of a function?
2. How would you graph the function \( f(x) = -2x + 15 \) and where would the zero appear on the graph?
3. What are the zeros of a quadratic function like \( f(x) = x^2 - 5x + 6 \)?
4. How do you find the slope of a linear function, and what does it represent in this case?
5. What happens to the function if you change the constant from \( +15 \) to another value?

**Tip:** The zero of a function is the point where the graph crosses the x-axis, indicating that the output value is 0 at that point.

Find the zero of the linear function: f(x) = -2x + 15

Learn how to find the zero of the linear function f(x) = -2x + 15 with a step-by-step solution. This problem covers key algebraic concepts, including solving linear equations. Suitable for students in Grades 7-9.

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