Question

question 9
find the slope of the above line. enter a simplified fraction for your final answer.
m =
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Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, -4)\) and \((4, -5)\) (we can also choose other points, but these are clear from the graph). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, -4)\) and \((x_2,y_2)=(4, -5)\).

Step2: Apply the slope formula

Substitute the values into the formula: \(m=\frac{-5 - (-4)}{4 - 0}=\frac{-5 + 4}{4}=\frac{-1}{4}\).

Answer:

\(-\frac{1}{4}\)