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(x)=−4x−5
f of x equals negative 4 x minus 5

f(y)=−4x−5
f of y equals negative 4 x minus 5

f(y)=−5x−4
f of y equals negative 5 x minus 4

f(x)=−5x−4

f of x is equal to negative 5 x minus 4

Answer 1

f(x) = −4x − 5

Reason: slope = change in f / change in x = −4, and f(0) = −5 so intercept = −5, giving f(x) = −4x − 5.