Question

Question 11

(03.03)

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

Function A

f(x) = -2x + 1

Function B

graph of line going through ordered pairs negative 1, negative 5 and 2, 1 and 3, 3

Which equation best compares the slopes of the two functions?

a. Slope of Function B = 2 × Slope of Function A.

b. Slope of Function A = Slope of Function B

c. Slope of Function A = 2 × Slope of Function B

d. Slope of Function B = - Slope of Function A

Answer 1

Option d:slope of function B=- Slope of function A.

Explanation:

We are given that one equation for function A and the graph for function B

Function A

`f(x)=-2x+1`

Function B : The graph of line going through ordered pair (-1,-5) and (2,1) and (3,3)

The equation of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by

`(y-y_1)/(y_1-y_2)=(x-x_1)/(x_1-x_2)`

The equation of function B passing through the points (-1,-5) and (2,1)

`(y+5)/(-5-1)=(x+1)/(-1-2)`

Where
`x_1=-1,y_1=-5,x_2=2,y_2=1`

The equation of function B passing through the points (-1,-5) and (2,1)

`(y+5)/(-6)=(x+1)/(-3)`

The equation of function B passing through the points (-1,-5) and (2,1)

`{y+5}=2(x+1)`

The equation of function B passing through the points (-1,-5) and (2,1)

`2x-y=5-2`

The equation of function B passing through the points (-1,-5) and (2,1)

`2x-y=3`

The equation of function B passing through the points (-1,-5) and (2,1) is given by

`y=2x-3`

Therefore, slope of function B=2

By comparing with the equation of line

`y=mx+c`

Slope of function A= -2

Therefore, slope of function B=- Slope of function A.

Hence, option d is true.

Answer 2

The question ask on which of the following in you choices is the equation that best compares the slops of the two function and the best answer would be letter D. Slope of function B = - Slope of Function A, I hope you are satisfied with my asnwer and feel free to ask for more