Question

I’m trying to figure out how to do this one ! It’s kind of got me stuck

Answer 1

The answer is Option 3.

EXPLANATION :

From the problem, we have the equation of the line :

`y=x+3`

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)

`\begin{gathered} y=x+3 \\ 3=2+3 \\ 3=5 \\ \text{ False!} \end{gathered}`

For Option 2.

Let's check the point (-2, 1)

`\begin{gathered} y=x+3 \\ 1=-2+3 \\ 1=1 \\ \text{ True!} \end{gathered}`

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.