Question

The function g(x) = –2x – 5. Compare the slopes.

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

Answer:

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

$slope=\frac{y_2-y_1}{x_2-x_1}$

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:

$slope=\frac{1-3}{1-0}=-2$

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.