Answer:
B. y = -6x -25
Step-by-step explanation:
The slope of the tangent line is given by the derivative:
y = x^2 +4x
y' = 2x +4
At x = -5, the slope is ...
y' = 2(-5) +4 = -6 . . . . . matches choices B and D
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The value of the function at x=-5 is ...
y = (-5)^2 +4(-5) = 25 -20 = 5
So the tangent line has slope -6 and goes through the point (-5, 5). It can be written in point-slope form as ...
y = -6(x -5) +5
y = -6x -25 . . . . . . matches choice B
