Question

The equation 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

slope of function a = -2

slope of function b = (1 + 5)/(2 + 1) = 6/3 = 2

slope of function b = - slope of function a.

Explanation:

Answer 2

Slope of Function B = 2 x Slope of Function A

Explanation:

step 1

Find the slope of the function A

we have

`f(x)=x-9`

This is the equation of the line into point slope form

`y=mx+b`

where m is the slope

b is the y-intercept

therefore

The slope of the function A is

`m=1`

step 2

Find the slope of the function B

we have the points

(-1,-3) and (2,3)

The slope m is equal to

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

step 3

Compare the slopes

`SlopeA=1\\ SlopeB=2`

therefore

The slope of the function B is two times the slope of the function A