Question

The function f(x) is shown in this graph.

(0,2)
The function g(x) = -5x - 6. Compare the slopes.
A. The slope of f(x) is the same as the slope of g(x).
B. The slope of f(x) is undefined, and the slope of g(x) is negative.C. The slope of f(x) is greater than the slope of g(x).D. The slope of f(x) is less than the slope of g(x).

Answer 1

D. The slope of f(x) is less than the slope of g(x).

Explanation:

✔️Slope of f(x):

Using two points on the line, (0, 2) and (1, -1),

Slope (m) = change in y/change in x

Slope (m) = (-1 - 2)/(1 - 0) = -3/1 = -3

Slope of f(x) = -3

✔️Slope of g(x) = -5x - 6:

The slope of g(x) is -5.

Therefore f(x) has a lesser absolute slope value (3) compared to the absolute slope value of g(x) (5).

Thus, D. the slope of f(x) is less than the slope of g(x).