Question

Which additional ordered pair can be used to form the graph of the additive linear equation y=x+2
?(1 point)
Responses

(−2,0)
left parenthesis negative 2 comma 0 right parenthesis

(2,0)
left parenthesis 2 comma 0 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(2,2)

Answer 1

To determine which additional ordered pair can be used to form the graph of the equation \( y = x + 2 \), we can check each of the given options by substituting the \( x \) values into the equation and seeing if the resulting \( y \) values match the pairs.

1. **For \( (-2, 0) \):**
\[
y = -2 + 2 = 0 \quad \text{(This pair is valid)}
\]

2. **For \( (2, 0) \):**
\[
y = 2 + 2 = 4 \quad \text{(This pair is not valid)}
\]

3. **For \( (0, -2) \):**
\[
y = 0 + 2 = 2 \quad \text{(This pair is not valid)}
\]

4. **For \( (2, 2) \):**
\[
y = 2 + 2 = 4 \quad \text{(This pair is not valid)}
\]

From these calculations, the only ordered pair that satisfies the equation \( y = x + 2 \) is:

**(−2, 0)**

Therefore, the correct response is \( (-2, 0) \).