Problem

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4 ) Find the slope of the line that passes through $(4,4)$ and $(8,1)$.
1) Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer

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Answer

Final Answer: The slope of the line that passes through (4,4) and (8,1) is \(\boxed{-\frac{3}{4}}\).

Steps

Step 1 :We are given two points (4,4) and (8,1).

Step 2 :We can find the slope of the line passing through these two points using the formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step 3 :Substituting the given points into the formula, we get: \( m = \frac{1 - 4}{8 - 4} \).

Step 4 :Simplifying the above expression, we find that the slope is -0.75.

Step 5 :Converting -0.75 into a fraction, we get \(-\frac{3}{4}\).

Step 6 :Final Answer: The slope of the line that passes through (4,4) and (8,1) is \(\boxed{-\frac{3}{4}}\).

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