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?

Answer 1

Answer:

Slope of function A is 6 and slope of function B is 3. Slope of A is twice of slope of function B. The relationship between slopes is

$\text{Slope of Function A}=2\times \text{Slope of Function B}$

Step-by-step explanation:

The function A is,

$f(x)=6x-1$

It can be written as,

$y=6x-1$

It is the slope intercept form like $y=mx+c$, where m is the slope. On comparing the function A with the slope intercept form, we get the value of slope of function A is 6.

$m_{A}=6$

The graph of function B passing through the point (1,4), (-1,-2) and (-2,-5).

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

$m=\frac{y_2-y_1}{x_2-x_1}$

Choose any two points of function B. Let the function B is passing through the points (1,4) and (-1,-2).

$m_{B}=\frac{-2-4}{-1-1}$

$m_{B}=\frac{-6}{-2}$

$m_{B}=3$

The slope of function B is 3.

Since slope of function A is 6 and the slope of function B is 3, so we can say that the slope of function A is twice of slope of function B.

$\text{Slope of Function A}=2\times \text{Slope of Function B}$

Answer 2

Answer:

slope of function a = -2

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

slope of function b = - slope of function a.

Step-by-step explanation: