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Sagot :
We need to substitute each point into the line in order to see if it belongs to the line.
If we substitute point (2,1) we have
[tex]2(2)+4(1)=10[/tex]on the left hand side, we get
[tex]4+4=8[/tex]but 8 its not equal to 10, then this point doesnt belongs to the line.
Similarly, if we substitute poin (-1,3), we obtain
[tex]\begin{gathered} 2(-1)+4(3)=10 \\ -2+12=10 \\ 10=10 \end{gathered}[/tex]since both sides have the same value (10), then this point is on the line.
Now, if we substitute point (-2,2), we get
[tex]\begin{gathered} 2(-2)+4(2)=10 \\ -4+8=10 \\ 4=10\text{ !!!} \end{gathered}[/tex]since both side are not equal, then this point doesnt belongs to the line.
Finally, if we substitute point (2,2), we obtain
[tex]\begin{gathered} 2(2)+4(2)=10 \\ 4+8=10 \\ 12=10\text{ !!!} \end{gathered}[/tex]since both side are not equal, then this point doesnt belongs to the line.
Therefore, the points which belong to the line are: (2,1) and (-1,3)
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