Linear Function Through Points (0,5) and (6,5): Analyzing Horizontal Lines

To solve this problem, follow these steps:

• Step 1: Identify the points given: $B(0,5)$ and $A(6,5)$.
• Step 2: Use the slope formula to calculate the slope $m$ between these points:

The slope $m$ is calculated as:

Since the slope $m = 0$, the line is horizontal.

• Step 3: Classify the line as a "constant function" because the slope is zero, indicating no increase or decrease.

The line is therefore a constant function where the $y$-value remains at 5 for all $x$-values.

Therefore, the answer is constant function.