Question

Match each function on the left with the ordered pairs on the right.

Answer 1

We have to match the functions with the corresponding ordered pair.

The easiest way is to pick an ordered pair and replace (x,y) in the function to verify if the equality stands or not. If it does stand, then the ordered pair is part of the function.

Then, we start with (-8,9) and function y = 6x+9. Replacing x and y, we get:

`\begin{gathered} (x,y)=(-8,9) \\ y=6x+9 \\ 9=6\cdot(-8)+9 \\ 9=-48+9 \\ 0=-48\longrightarrow\text{False} \end{gathered}`

As this equation does not verify for (-8,9), this ordered pair does not belong to the function.

We repeat the same process with the next function, y = -9x-1:

`\begin{gathered} (x,y)=(-8,9) \\ y=-9x-1 \\ 9=-9(-8)-1 \\ 9=72-1 \\ 9=71\longrightarrow\text{False} \end{gathered}`

As with the previous function, the equation does not verify.

The next function is y = -1x+1: