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Sagot :
ANSWER :
The answer is Option 3.
EXPLANATION :
From the problem, we have the equation of the line :
[tex]y=x+3[/tex]First thing to do is check the correctness of the table.
The given values in the table must satisfy the equation.
For Option 1.
Let's check the point (2, 3)
[tex]\begin{gathered} y=x+3 \\ 3=2+3 \\ 3=5 \\ \text{ False!} \end{gathered}[/tex]For Option 2.
Let's check the point (-2, 1)
[tex]\begin{gathered} y=x+3 \\ 1=-2+3 \\ 1=1 \\ \text{ True!} \end{gathered}[/tex]But the point (-2, 1) is not in the graph, so this is false!
For Option 3.
The points are the same with Option 2, so we need to check the graph.
(-2, 1) is on the graph.
(-1, 2) is on the graph.
(0, 3) is on the graph.
(1, 4) is on the graph.
(2, 5) is on the graph.
So this must be the correct table and graph.
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