Question

The function f(x) is shown in this graph the function g(x)=-3x-6. Compare the slopes

Answer 1

B) The slope of
`f(x)` is same as the slope of
`g(x)`

Explanation:

Given function:

`g(x)=-3x-6`

Comparing the function with slope intercept equation of line i.e.

`y=mx+b`

where
`m` represents slope and
`b` represents y-intercept.

So, we can find
`m` for
`g(x)` which is the co-efficient of the
`x` term.

Slope of
`g(x)=-3`

From graph of
`f(x)` we have two points on the line which are:

`(0,2)` and
`(-1,5)`

Slope of line can be given as:

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

`m=(5-2)/(-1-0)`

`m=(3)/(-1)`

∴
`m=-3`

So, we find that slope of
`f(x)` is same as
`g(x)`