Questions: Determine if the line given below is increasing, decreasing, or constant. f(x)=x-6 Select the correct answer below: The line is increasing. The line is decreasing. The line is constant.

Solution Steps

The given linear function is $f(x) = x - 6$. The coefficient of $x$ in this equation is $1$.

To classify the behavior of the line, we analyze the coefficient:

• If the coefficient $> 0$, the line is increasing.
• If the coefficient $< 0$, the line is decreasing.
• If the coefficient $= 0$, the line is constant.

Since the coefficient is $1$, which is greater than $0$, we conclude that the line is increasing.

Final Answer