Question

Which equation best compares the slopes of the two functions?

A. f(x) = x - 9
B. f(x) = x
C. f(x) = x + 9
D. f(x) = x + 18

Answer 1

The equation that best compares the slopes of the two functions is option D, f(x) = x + 18.

Step-by-step explanation:

The equation that best compares the slopes of the two functions is option D, f(x) = x + 18.

The slope of a linear function is represented by the coefficient of the x-term. In option D, the coefficient of x is 1, which means the slope is 1. This slope is greater than the slopes of options A, B, and C.

For example, in option A, the coefficient of x is -9, which means the slope is -9. Since -9 is less than 1, option D has a steeper slope.