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 negative 4 comma negative 2 right parenthesis

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

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

(4,2)

Answer 1

To determine which ordered pair can be used to form the graph of the additive linear equation \( y = x + 6 \), we can substitute the x-values from each ordered pair into the equation and check if the resulting y-value is correct.

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

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

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

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

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

Thus, the additional ordered pair that can be used to form the graph is:
**(-4, 2)**.