Question

Help!!!How does the slope of g(x) compare to the slope of f(x)?

A.The slope of g(x) is the opposite of the slope of f(x).
B.The slope of g(x) is less than the slope of f(x).
C.The slope of g(x) is greater than the slope of f(x).
D.The slope of g(x) is equal to the slope of f(x).

Answer 1

fx=2x+-2

gx=1/2x+2
and so its (b)

Answer 2

we know that

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

`m=((y2-y1))/((x2-x1))`

Step
`1`

Find the slope of the function f(x)

Let

`A( 0,-2)\\B(1,0)`

substitute the values in the formula above

`m=((0+2))/((1-0))`

`m=2`

the slope of the function f(x) is
`m=2`

Step
`2`

Find the slope of the function g(x)

Let

`C( -4,0)\\D(0,2)`

substitute the values in the formula above

`m=((2-0))/((0+4))`

`m=(2)/(4)`

`m=(1)/(2)`

the slope of the function g(x) is
`m=(1)/(2)`

therefore

slope f(x) > slope g(x)

or

slope g(x) < slope f(x)

the answer is the option

B.The slope of g(x) is less than the slope of f(x).