Question

The equation below represents Function A and the graph represents Function B: Function A f(x) = 6x - 1 Function B graph of line going through ordered pairs 1, 4 and negative 1, negative 2 and negative 2, negative 5 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 x Slope of Function B

Explanation:

Function A has equation:
`f(x)=6x-1`.

The slope of this function is the coefficient of x which is
`m=6`.

Function B goes through:(1,4), (-1,-2),(-2,-5).

Use the slope formula
`m=(y_2-y_1)/(x_2-x_1)` to find the slope of this line.

Let us substitute the first two points.

`m=(-2-4)/(-1--1)`.

`m=(-6)/(-2)`.

`m=3`.

We know that: 6=2(3).

Hence, Slope of Function A = 2 x Slope of Function B