Question

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

Answer 1

The correct answer is D. y = -3x – 1

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.