Final answer:
The function f(x) = 5x - 4 will produce a steeper line compared to g(x) = (1/10)x + 9, because the slope of f(x) is 5, which is greater than the slope of g(x), which is 1/10.
Step-by-step explanation:
When comparing which function will produce a steeper line between f(x) = 5x - 4 and g(x) = (1/10)x + 9, it is important to consider the slope of each line. The slope is indicated by the coefficient of x in the linear equation y = mx + b, where m represents the slope and b represents the y-intercept. In the given functions, f(x) has a slope of 5, while g(x) has a slope of 1/10. Thus, f(x) with a slope of 5 will produce a much steeper line compared to g(x) with a slope of 1/10.
The function that will produce a steeper line is a) f(x) = 5x - 4. The slope of a line is determined by the coefficient of the x-term in the equation. In this case, the coefficient of x is 5, which is larger than the coefficient of x in option b. Therefore, option a will have a steeper line.