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 2 right parenthesis

(−4,2)
left parenthesis negative 4 comma 2 right parenthesis

(4,−2)
left parenthesis 4 comma negative 2 right parenthesis

(−4,−2)

Answer 1

To determine which ordered pair can be used to form the graph of the equation \( y = x + 6 \), we need to substitute the x-coordinate of each pair into the equation and see if the resulting y-coordinate matches.

1. For \( (4, 2) \):
\[
y = 4 + 6 = 10 \quad (\text{does not match } 2)
\]

2. For \( (-4, 2) \):
\[
y = -4 + 6 = 2 \quad (\text{matches } 2)
\]

3. For \( (4, -2) \):
\[
y = 4 + 6 = 10 \quad (\text{does not match } -2)
\]

4. For \( (-4, -2) \):
\[
y = -4 + 6 = 2 \quad (\text{does not match } -2)
\]

The only ordered pair that satisfies the equation \( y = x + 6 \) is \( (-4, 2) \).

So, the correct answer is:
\[
\boxed{(-4, 2)}
\]