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Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

x g(x)
0 2
5 4
10 6


A] The slope of f(x) is greater than the slope of g(x).
B] The slope of f(x) is less than the slope of g(x).
C] The slope of f(x) is equal to the slope of g(x).
D] The slope of g(x) is undefined.

Will award Fast Brainliest amp Many Points Compare the slopes of the linear functions fx and gx and choose the answer that best describes them x gx 0 2 5 4 10 6 class=

Respuesta :

Answer:

A] The slope of f(x) is greater than the slope of g(x).

Step-by-step explanation:

First, you need to calculate the slope of f(x) and g(x) using the slope formula

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are points of the functions.

To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.

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

m = 1 + 1 / 3

m = 2 / 3

m = 0.66...

To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).

m = 4 - 2 / 5 - 0

m = 2 / 5

m = 0.4

So the slope of f(x) is greater than the slope of g(x).