The function g(x) = –2x – 5. 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 less than the slope of g(x).

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

d. the slope of f(x) is undefined and the slope of g(x) is negative.

Option A is correct that is the slope of f(x) is the same as the slope of g(x).

Step-by-step explanation:

We have been given a function g(x)= -2x -5

And slope of f(x) can be shown from the given graph

And a line (0,3) and (1,1) is f(x)

Slope we can find in f(x) by the formula

Here, in f(x)

On substituting the values we get slope of f(x) as:

hence, slope of f(x) is -2

And slope of g(x) can be find by the formula

y= mx +c; where m is the slope on comparing the given equation with the above equation

We have slope of g(x) is -2

Hence,  the slope of f(x) is the same as the slope of g(x).

Therefore, option A is correct.

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: