Question

Identify the equation

Answer 1

We want to identify the equation that represents the data in the table.

Let's put the first values for x and y from the table, that is x = -2 and y = 11 and see if it works for the first option

`y=x+5`

This becomes

`\begin{gathered} y=x+5 \\ y=-2+5 \\ y=3 \end{gathered}`

Since we didn't get y = 11, but we got y = 3, then the first option is wrong.

Let's try the next one

`y=-3x+5`

This becomes

`\begin{gathered} y=-3x+5 \\ y=-3(-2)+5 \\ y=6+5 \\ y=11 \end{gathered}`

So, we got y = 11, this option should be the correct answer, but let us confirm with the next values of x and y which are (0, 5).

So we will put x = 0, if we get y = 5, then the option is correct, so

`\begin{gathered} y=-3x+5 \\ y=-3(0)+5 \\ y=0+5 \\ y=5 \end{gathered}`

Since we got y = 5, this option is correct.

Hence, the answer is the 2nd option.

`y=-3x+5`