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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).

The function fx is shown in this graph 02 The function gx 5x 6 Compare the slopes A The slope of fx is the same as the slope of gx B The slope of fx is undefine class=

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Answer:

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

Step-by-step 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).

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