Question

Which addiotional ordered pair can be used to form the graph of the additive linear equation y=x+6

Answer 1

To determine an additional ordered pair that can be used to form the graph of the linear equation \( y = x + 6 \), we can select any value for \( x \) and then compute the corresponding \( y \) value using the equation.

For example:

1. Let \( x = 0 \):
\[
y = 0 + 6 = 6
\]
Therefore, the ordered pair is \( (0, 6) \).

2. Let \( x = 2 \):
\[
y = 2 + 6 = 8
\]
Therefore, the ordered pair is \( (2, 8) \).

3. Let \( x = -3 \):
\[
y = -3 + 6 = 3
\]
Therefore, the ordered pair is \( (-3, 3) \).

Any of these pairs, along with the original pair based on the equation, can be used to construct the graph of \( y = x + 6 \). Thus, you could use the ordered pair \( (0, 6) \), \( (2, 8) \), or \( (-3, 3) \) as additional points.