Choose the equation that matches the table.

The correct answer is: y = 3x + 9

Step 1 of 2:
Of all the given choices of equations, observe that for x = 0, only the equations given in option (a) and option (b) gives y = 9 and that satisfies the corresponding table of values.
The equation in option (c)  gives y = 3 for x = 0 and equation in option (d)  gives y = -3 for x = 0. So, we opt out these equations at first.
Hence, intuitively we consider the equations y = x + 9 and y = 3x + 9.
Step 2 of 2:
Now, consider the equation y = x + 9. For x = 1, y = 10 and that does not satisfy the table values.
But for the equation y = 3x + 9, we get y = 12 for x = 1.
Moreover, for x = 2,3,4 we get y = 15,18,21 respectively. All the cases are satisfied by the equation in option (b) .
Final Answer:
The correct choice is-- B.