Question
Which additional ordered pair can be used to form the graph of the additive linear equation y=x+6 ?(1 point) Responses (4,−2) left parenthesis 4 comma negative 2 right parenthesis (−4,2) left parenthesis negative 4 comma 2 right parenthesis (−4,−2) left parenthesis negative 4 comma negative 2 right parenthesis (4,2)
Answers
GPT-4o mini
To determine which ordered pair can be used to form the graph of the equation \( y = x + 6 \), we can plug each of the provided pairs into the equation and see if the equation holds true.
1. **For the pair (4, -2)**:
\[
y = 4 + 6 = 10 \quad \text{(not equal to -2)}
\]
2. **For the pair (-4, 2)**:
\[
y = -4 + 6 = 2 \quad \text{(equal to 2)}
\]
3. **For the pair (-4, -2)**:
\[
y = -4 + 6 = 2 \quad \text{(not equal to -2)}
\]
4. **For the pair (4, 2)**:
\[
y = 4 + 6 = 10 \quad \text{(not equal to 2)}
\]
The only ordered pair that satisfies the equation \( y = x + 6 \) is **(-4, 2)**.
1. **For the pair (4, -2)**:
\[
y = 4 + 6 = 10 \quad \text{(not equal to -2)}
\]
2. **For the pair (-4, 2)**:
\[
y = -4 + 6 = 2 \quad \text{(equal to 2)}
\]
3. **For the pair (-4, -2)**:
\[
y = -4 + 6 = 2 \quad \text{(not equal to -2)}
\]
4. **For the pair (4, 2)**:
\[
y = 4 + 6 = 10 \quad \text{(not equal to 2)}
\]
The only ordered pair that satisfies the equation \( y = x + 6 \) is **(-4, 2)**.