Question

The equation below represents Function A and the graph represents Function B:

Function A

f(x) = x - 9

Function B

graph of line going through ordered pairs negative 1, negative 3 and 2, 3

Which equation best compares the slopes of the two functions?

Slope of Function B = 2 x Slope of Function A.
Slope of Function A = Slope of Function B
Slope of Function A = 2 x Slope of Function B
Slope of Function B = - Slope of Function A

Answer 1

The answer is A... yeet

Answer 2

Answer: The correct option is A., i.e, Slope of Function B = 2 x Slope of Function A.

Step-by-step explanation:

The given function is,

`f(x)=x-9`

It can be written as,

`y=x-9`

It is the slope intercept form like y=mx+c, where m is the slope. On comparing the f(x) with the slope intercept form, we get the slope of f(x) is 1.

The graph of function g(x) passing through the point (-1,-3) and (2,3).

If a line passing through the points
`(x_1,y_1)` and
`(x_2,y_2)`, then the slope of line is,

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

`m=(3-(-3))/(2-(-1))=(3+3)/(2+1)= (6)/(3) =2`

The slope of g(x) is 2.

Since slope of f(x) is 1 and the slope of g(x) is 2, so we can say that the slope of function B is twice of slope of function A.

Slope of Function B = 2 x Slope of Function A

Therefore, the first option is correct.