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Question

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answer attempt 1 out of 2
slope of the line:

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -5)\) (the y-intercept) and \((2, -1)\) (we can also use other points, but these are clear).

Step2: Use the slope formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1, y_1) = (0, -5)\) and \((x_2, y_2) = (2, -1)\). Then \(m=\frac{-1 - (-5)}{2 - 0}=\frac{-1 + 5}{2}=\frac{4}{2} = 2\).

Answer:

2