Question

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

Answer 1

we know that

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

$m=\frac{(y2-y1)}{(x2-x1)}$

Step $1$

Find the slope of the function f(x)

Let

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

substitute the values in the formula  above

$m=\frac{(0+2)}{(1-0)}$

$m=2$

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

$m=\frac{(2-0)}{(0+4)}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

the slope of the function g(x) is $m=\frac{1}{2}$

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).

Answer 2

Fx=2x+-2

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