The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −6
0 −3
1 0
g(x)

g(x) = 4x − 5

part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

part b: which function has a greater y-intercept? justify your answer.

(A)

Slope for f(x) is 3

Slope for g(x) is 4

(B)

So, y-intercept for f(x) is greater

Step-by-step explanation:

(A)

Slope of f(x):

we can select any two points

(-1,-6)

so, x1=-1 and y1=-6

(0,-3)

so, x2=0 , y2=-3

now, we can use slope formula

now, we can plug values

Slope of g(x):

we can compare with

y=mx+b

so, m=4

so, slope is 4

(B)

For f(x):

we can select point as

x=0 , y=-3

so, y-intercept is -3

For g(x):

we can compare with

y=mx+b

where

b is y-intercept

we get

b=-5

we know that -3 is greater than -5

So, y-intercept for f(x) is greater

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

5

10

15

20

25

30

35

40

45

50

55