Question

Two linear functions are described below.

Function f(x) has the equation f(x)=3x−4.

Function g(x) has the table of values shown below.

x g(x)
0 4
3 5
6 6
9 7
Which statement is true regarding the functions f(x) and g(x)?
A
The slopes of the two functions are the same.

B
The slopes of the two functions are opposites.

C
The y-intercepts of the two functions are the same.

D
The y-intercepts of the two functions are opposites.

Answer 1

D

The y-intercepts of the two functions are opposites.

Explanation:

f(x) = 3x-4 which has a slope of 3 and a y intercept of -4

g(x)

m = (5-4)/(3-0) = 1/3

g(x) = 1/3 x +4

g(x) has a slope of 1/3 and a y intercept of 4