Find the zero of the linear function. \( f(x)=-x+6 \)

To find the zero of the linear function \( f(x)=-x+6 \), you need to solve for \( x \) when \( f(x) = 0 \). Setting the equation to zero gives you: \[ 0 = -x + 6 \] Now, add \( x \) to both sides: \[ x = 6 \] So, the zero of the function \( f(x) \) is \( x = 6 \). To visualize this, imagine plotting the line on a graph. It intersects the x-axis at the point (6, 0). Not only does this point represent the zero of the function, but it also signifies the equilibrium where inputs (x-values) produce an output of zero. It’s like finding the perfect balance on a seesaw!