Question

Which points are solutions to equation y = - 2/3x + 2?select all that apply

Answer 1

`y=-(2)/(3)x+2`

Let's check every point:

`\begin{gathered} ((7)/(2),(13)/(3)) \\ so\colon \\ (13)/(3)=-(2)/(3)((7)/(2))+2 \\ (13)/(3)=-(1)/(3) \\ False \end{gathered}`

This point is not a solution.

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`\begin{gathered} (-(2)/(5),(34)/(15)) \\ (34)/(15)=-(2)/(3)(-(2)/(5))+2 \\ (34)/(15)=(34)/(15) \\ True \end{gathered}`

This point is a solution

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`\begin{gathered} ((8)/(3),(2)/(3)) \\ (2)/(3)=-(2)/(3)((8)/(3))+2 \\ (2)/(3)=(2)/(9) \\ False \end{gathered}`

This point is not a solution

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`\begin{gathered} ((1)/(8),(23)/(12)) \\ (23)/(12)=-(2)/(3)((1)/(8))+2 \\ (23)/(12)=(23)/(12) \\ True \end{gathered}`

This point is a solution.

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`\begin{gathered} (-3,4) \\ 4=-(2)/(3)(-3)+2 \\ 4=4 \\ True \end{gathered}`

This point is a solution.