Answer:
slope = - 1
Step-by-step explanation:
The slope of the curve m is measured by
m = [tex]\frac{dy}{dx}[/tex] at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = - 3x - x², then
[tex]\frac{dy}{dx}[/tex] = - 3 - 2x
x = - 1 → [tex]\frac{dy}{dx}[/tex] = - 3 - 2(- 1) = - 3 + 2 = - 1 ← slope at (- 1, 2 )
