Question

Gabriella compared the graphs of two functions.

The first function was f(x) = 3x + 4.
The second functions fits the values in the table.
x

2

5

8

11

y

17

32

47

62





What is the distance between the y-intercepts of the two functions?

1. A.

2 B.

3 C.

4 D.

Answer 1

9514 1404 393

Answer:

C 3

Explanation:

The first function is given in slope-intercept form:

y = mx + b

When we compare this to the given equation, we see the y-intercept is 4.

__

The table represents a function with a slope of ...

m = (y2 -y1)/(x2 -x1) = (32 -17)/(5 -2) = 15/3 = 5

Then the y-intercept can be found from ...

b = y1 -m(x1)

b = 17 -5(2) = 7

The table is a function with a y-intercept of 7.

__

The difference between the y-intercepts of the two functions is ...

7 - 4 = 3 . . . difference of y-intercepts