Answer:
Coordinate of P is (-2, -3)
Step-by-step explanation:
Gradient is the derivative of the curve:
[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]
but dy/dx is -1 :
[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]
substitute for x :
[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]
