Question

question 2 of 5
select the correct answer

x	y
-2	-5
-1	-2
0	1
1	4
2	7

which equation could represent the data in the table?
a. y = 3x + 1
b. y = -3x + 1
c. y = 3x - 1
d. y = x - 1

Explanation:

Step1: Check x=0

For x=0, substitute into each equation.

• \( y = 3x + 1 \): \( y = 3(0) + 1 = 1 \) (matches table: x=0, y=1).
• \( y = -3x + 1 \): \( y = -3(0) + 1 = 1 \) (also matches, check another x).
• \( y = 3x - 1 \): \( y = 3(0) - 1 = -1 \) (does not match).
• \( y = x - 1 \): \( y = 0 - 1 = -1 \) (does not match).

Step2: Check x=1

For x=1, use remaining candidates (\( y = 3x + 1 \), \( y = -3x + 1 \)):

• \( y = 3(1) + 1 = 4 \) (matches table: x=1, y=4).
• \( y = -3(1) + 1 = -2 \) (does not match table: x=1, y=4).

Answer:

\( y = 3x + 1 \) (assuming the first option is \( y = 3x + 1 \), e.g., A. \( y = 3x + 1 \))