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maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table below.

x -4 -2 0 2 4
----------------------------------------------------
g(x) 9 8 7 6 5


A. both functions have a positive slope.

b. both functions have a negative slope

c. function f(x) has a positive slope, while function g(x) has a negative slope.

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kudzordzifrancis

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

[tex]f(x)=-6x-21[/tex]


This function is of the form [tex]y=mx+b[/tex], where [tex]m=-6[/tex] is the slope and [tex]b=-21[/tex] is the y-intercept.


We can also determine the slope of the function in the table using any two points, say [tex](0,7)\:and\:(2,6)[/tex].


The slope formula is given by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].


If [tex](x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6)[/tex], then,

[tex]m=\frac{6-7}{2-0}[/tex]


[tex]m=-\frac{1}{2}[/tex].


We can see that both functions have a negative slope.


The correct answer is B.