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Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
a graph of a line labeled f of x passing through 0, negative 1 and 3, 1
x g(x)
0 2
3 4
6 6
The slope of f(x) is greater than the slope of g(x).
The slope of f(x) is less than the slope of g(x).
The slope of f(x) is equal to the slope of g(x).
The slope of g(x) is undefined.

Respuesta :

calculista

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

[tex]m=\frac{1+1}{3-0}[/tex]

[tex]m_1=\frac{2}{3}[/tex]

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

[tex]m=\frac{4-2}{3-0}[/tex]

[tex]m_2=\frac{2}{3}[/tex]

step 3

Compare the slopes

[tex]m_1=m_2[/tex]

therefore

The slope of f(x) is equal to the slope of g(x).