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.

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.

Transcript text: 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

Solution Steps

Step 1: Identify the Coefficient

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

Step 2: Determine the Behavior of the Line

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

The line is increasing, so the answer is \\(\boxed{\text{The line is increasing.}}\\)

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