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To find the zero of the linear function \( f(x) = -2x + 13 \), we need to determine the value of \( x \) that makes \( f(x) = 0 \).

Here's the step-by-step solution:

1. Set the function equal to zero:
   \[
   -2x + 13 = 0
   \]

2. Solve for \( x \):
   \[
   -2x = -13
   \]

   \[
   x = \frac{-13}{-2}
   \]

   \[
   x = \frac{13}{2}
   \]

So, the zero of the function is \( x = \frac{13}{2} \) or \( x = 6.5 \).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you find the zeros of a quadratic function?
2. What is the slope-intercept form of a linear equation?
3. How does changing the slope affect the graph of a linear function?
4. How can you graph this function and its zero?
5. What does it mean graphically when a function's zero is found?

**Tip:** When finding the zero of a linear function, you're essentially finding where the graph of the function intersects the x-axis.

Find the zero of the linear function f(x) = -2x + 13.

Learn how to find the zero of the linear function f(x) = -2x + 13 with a step-by-step solution. This problem focuses on algebraic concepts like solving for the zero of a function by setting f(x) to 0 and solving for x. Ideal for students in Grades 6-8.

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