Question

Use the table to answer the question.

This table shows a linear relationship with a constant difference of −4
between consecutive y-values as x increases by 1.


Linear Relationships
x
f(x)

0 −5

1 −9

2 −13

3 −17

Which of the following equations correctly describes the function in the table using function notation?

(1 point)
Responses

f(y)=−5x−4

f of y equals negative 5 x minus 4

f(y)=−4x−5

f of y equals negative 4 x minus 5

f(x)=−5x−4


f of x is equal to negative 5 x minus 4

f(x)=−4x−5

Answer 1

f(x) = −4x − 5

Reason: slope = change in f per 1 increase in x = −4, and f(0) = −5 gives the y‑intercept −5, so f(x)=−4x−5.