The equation represents function a, and the graph represents function b:

function a: f(x) = x − 9

which equation best compares the slopes of the two functions?

a.) slope of function b = 2 x slope of function a
b.) slope of function a = slope of function b
c.) slope of function a = 2 x slope of function b
d.) slope of function b = − slope of function a

The correct option is A.

Step-by-step explanation:

The slope intercept form of a line is

              .... (1)

where, m is slope and b is y-intercept.

The equation of Function A is

     .... (2)

From (1) and (2) we get

It means slope of Function A is 1.

If a line passes through two points and , then slope of the line is

From the given graph it is clear that the line passes through two points (0,-1) and (1,1).

The slope of Function B is 2.

We can say that

Slope of Function B = 2 x Slope of Function A

Therefore the correct option is A.

the circle one