Question

he 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? 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.

Answer 2

Option D.

Explanation:

The slope intercept form of a line is

Function a:
`y=mx+b`

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

The given function is

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

The slope of the line is -2 and y-intercept is 1.

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

`m=(y_2-y_1)/(x_2-x_1)`

It is given that the graph of function b passes through the points (2,1) and (3,3).

`m=(3-1)/(3-2)`

`m=(2)/(1)`

`m=2`

The slope of function b is 2.

Slope of function b = – Slope of function a

Therefore, the correct option is D.