The slope of f(x) is greater than the slope of g(x) because the slope of f(x) is 1 option (D) is correct.
What is the slope?
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
g(x) = -2x - 6
f(x) is shown in the graph
The slope of g(x), m = -2
From the graph:
(0, 2) and (-1, 1)
M = (1-2)/(-1) = 1
Thus, the slope of f(x) is greater than the slope of g(x) because the slope of f(x) is 1 option (D) is correct.
Learn more about the slope here:
brainly.com/question/3605446
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