Question

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.

Answer 1

Based on the given info of f(x), the two dots we have is (0,3) and (1,1)

So we can solve slope.
(1-3)/(1-0)= -2

the slope is -2.

G(x)=-2x-5
Which is in the form of slope-intersect form.
y=mx+b slope is -2 too.

Therefore, they have the same slope

Answer 2

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

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

`slope=(y_2-y_1)/(x_2-x_1)`

Here, in f(x)
`x_1=0,x_2=1,y_1=3,y_2=1`

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

`slope=(1-3)/(1-0)=-2`

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.