As you watch the last few people leave the burning building, you look around, calling out for anyone that might be left with the last bit of your strength. You collapse to the ground coughing harshly, your vision starting to blur when you see a figure through the smoke
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9ProSlytherin17!
Creator
13/02/2025
Ur Mom! 😜
27/04/2025
Ur Mom! 😜
24/04/2025
The slope of the tangent line to the curve \( y^2 + 8x = 9 \) at the point \( (1, 1) \) is calculated using implicit differentiation: 1. Differentiate both sides with respect to \( x \): \[ 2y \frac{dy}{dx} + 8 = 0 \] 2. Solve for \( \frac{dy}{dx} \): \[ \frac{dy}{dx} = -\frac{4}{y} \] 3. Substitute \( y = 1 \) (from the point \( (1, 1) \)): \[ \left. \frac{dy}{dx} \right|_{(1, 1)} = -\frac{4}{1} = -4 \] **Answer:** The slope is \(\boxed{-4}\).
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