Question

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the graph represents one side of the roof of a building. the slope of the line is

Explanation:

Step1: Identify two points

Let the first point be $(0,0)$ and the second point be $(16,4)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 0,y_1 = 0,x_2=16,y_2 = 4$ into the formula: $m=\frac{4 - 0}{16 - 0}=\frac{4}{16}=\frac{1}{4}$. Since the line is decreasing, the slope is negative. So $m=-\frac{1}{4}$.

Answer:

$-\frac{1}{4}$