Look at the following table of values.𝑥 1 2 3 4y −2 0 2 4What equation was used to fill the table?A. y = 𝑥 − 1B. y = 2𝑥 − 4C. y = −2𝑥 + 1D. y = 𝑥 − 2

To find the equation used to fill the table, we need to determine the relationship between the x and y values.

Let's test each option:

A. y = 𝑥 − 1 If we plug x = 1 into this equation, we get y = 1 - 1 = 0. But in the table, when x = 1, y = -2. So, this equation does not match the table.

B. y = 2𝑥 − 4 If we plug x = 1 into this equation, we get y = 21 - 4 = -2. This matches the first pair of values in the table. Let's test the second pair: if we plug x = 2 into this equation, we get y = 22 - 4 = 0. This also matches the table. It seems like this equation could be the correct one, but let's test the remaining options to be sure.

C. y = −2𝑥 + 1 If we plug x = 1 into this equation, we get y = -2*1 + 1 = -1. But in the table, when x = 1, y = -2. So, this equation does not match the table.

D. y = 𝑥 − 2 If we plug x = 1 into this equation, we get y = 1 - 2 = -1. But in the table, when x = 1, y = -2. So, this equation does not match the table.

Therefore, the equation used to fill the table is B. y = 2𝑥 − 4.