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