Analyze the following table of values.

x y

0 - 1

1 - 4

2 - 7

3 - 10

4 - 13

5 - 16

Which of the following equations describes this relationship?

y = - x - 3

y = 3x - 1

y = x - 3

y = - 3x - 1

The correct answer is D. y = - 3x - 1

Step-by-step explanation:

Let's find which of the following equations describes the relationship.

Answer A.

y = - x - 3

If x = 0 ⇒ y = - 3; if x = 2 ⇒ y = - 5

Therefore, this is not the correct equation.

Answer B.

y = 3x - 1

If x = 0 ⇒ y = - 1; if x = 2 ⇒ y = 5

Therefore, this is not the correct equation.

Answer C.

y = x - 3

If x = 0 ⇒ y = - 3; if x = 2 ⇒ y = - 1

Therefore, this is not the correct equation.

Answer D.

y = - 3x - 1

If x = 0 ⇒ y = - 1; if x = 2 ⇒ y = - 7; if x = 5 ⇒ y = - 16

Therefore, this is the correct equation.