Answer:
20
Step-by-step explanation:
Step 1: find the derivative of y = x^2 + 12x - 7; it is 2x + 12.
This function represents the slope of the tangent line to the given curve at x.
Step 2: Substitute 4 for x in f '(x) = 2x + 12: f '(4) = 2(4) + 12 = 20
The slope of the tangent line to the graph of y = x^2 + 12x - 7 at x = 4 is 20.