Question

Select ALL ordered pairs that satisfy the function y=-1/2x+9

Answer 1

Let:

`y(x)=-(1)/(2)x+9`

Let's check every point:

A.

`\begin{gathered} x=2,y=8 \\ y(2)=-(1)/(2)(2)+9=8 \\ -1+9=8 \\ 8=8 \\ True \end{gathered}`

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B.

`\begin{gathered} x=8,y=13 \\ y(8)=-(1)/(2)(8)+9=13 \\ -4+9=13 \\ 5=13 \\ False \end{gathered}`

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C.

`\begin{gathered} x=-4,y=7 \\ y(-4)=-(1)/(2)(-4)+9=7 \\ 2+9=7 \\ 11=7 \\ False \end{gathered}`

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D.

`\begin{gathered} x=-6,y=12 \\ y(-6)=-(1)/(2)(-6)+9=12 \\ 3+9=12 \\ 12=12 \\ True \end{gathered}`

Answer:

A and D