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 find an ordered pair that satisfies the equation \( y = x + 2 \), we can substitute the x-value from each of the given options into the equation and check if the corresponding y-value matches.

1. **For (-2, 0)**:
\[
y = -2 + 2 = 0 \quad \text{(Matches)}
\]
So, (-2, 0) is a solution.

2. **For (2, 0)**:
\[
y = 2 + 2 = 4 \quad \text{(Does not match)}
\]
So, (2, 0) is not a solution.

3. **For (0, -2)**:
\[
y = 0 + 2 = 2 \quad \text{(Does not match)}
\]
So, (0, -2) is not a solution.

4. **For (2, 2)**:
\[
y = 2 + 2 = 4 \quad \text{(Does not match)}
\]
So, (2, 2) is not a solution.

The only ordered pair that satisfies the equation \( y = x + 2 \) is **(-2, 0)**.