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

The graph of the linear function passes through the points $B(0,5),A(6,5)$

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The graph of the linear function passes through the points $B(0,5),A(6,5)$

To solve this problem, follow these steps:

The slope $m$ is calculated as:

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 5}{6 - 0} = \frac{0}{6} = 0

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.

Constant function

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