[tex]y=-\frac{2}{3}x+2[/tex]
Let's check every point:
[tex]\begin{gathered} (\frac{7}{2},\frac{13}{3}) \\ so\colon \\ \frac{13}{3}=-\frac{2}{3}(\frac{7}{2})+2 \\ \frac{13}{3}=-\frac{1}{3} \\ False \end{gathered}[/tex]
This point is not a solution.
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[tex]\begin{gathered} (-\frac{2}{5},\frac{34}{15}) \\ \frac{34}{15}=-\frac{2}{3}(-\frac{2}{5})+2 \\ \frac{34}{15}=\frac{34}{15} \\ True \end{gathered}[/tex]
This point is a solution
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[tex]\begin{gathered} (\frac{8}{3},\frac{2}{3}) \\ \frac{2}{3}=-\frac{2}{3}(\frac{8}{3})+2 \\ \frac{2}{3}=\frac{2}{9} \\ False \end{gathered}[/tex]
This point is not a solution
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[tex]\begin{gathered} (\frac{1}{8},\frac{23}{12}) \\ \frac{23}{12}=-\frac{2}{3}(\frac{1}{8})+2 \\ \frac{23}{12}=\frac{23}{12} \\ True \end{gathered}[/tex]
This point is a solution.
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[tex]\begin{gathered} (-3,4) \\ 4=-\frac{2}{3}(-3)+2 \\ 4=4 \\ True \end{gathered}[/tex]
This point is a solution.
