The linear function f has a slope of 7. If g(x) = 4f(x) - 9, what is the slope of g?

Write $f(x) = 7x + c$. Then $g(x) = 4(7x + c) - 9 = 28x + 4c - 9$. The slope of $g$ is 28, choice C. Multiplying a function by 4 multiplies its slope by 4, while subtracting 9 shifts the graph down without changing the slope. Choice A (7) ignores the factor of 4. Choice B ($-9$) is the vertical shift. Choice D (11) comes from adding $7 + 4$ instead of multiplying. A constant added or subtracted outside the function never affects the slope.