Use the graph of y = x to determine an additional ordered pair (x, y) that satisfies the equation. Find the ordered pair (x, y) if the x-coordinate is 3. A. 1 B. 6 C. 9 D. 12

1 answer

The equation \( y = x \) represents a straight line where the y-coordinate is always equal to the x-coordinate.

To find an ordered pair \( (x, y) \) when the x-coordinate is 3, we substitute 3 for \( x \):

\[ y = 3 \]

Thus, the ordered pair is \( (3, 3) \).

Since the question presents options that do not lead to \( y \) values, let's relate them back to our findings. None of the values provided (1, 6, 9, 12) are equal to the calculated \( y \) value. However, if you take the values one by one:

  • Each of those options represents a different \( x \) value like so:
    • If \( x = 1 \), then \( y = 1 \)
    • If \( x = 6 \), then \( y = 6 \)
    • If \( x = 9 \), then \( y = 9 \)
    • If \( x = 12 \), then \( y = 12 \)

Only ordered pairs are possible when \( y \) equals \( x \).

Thus, we conclude that any provided values (A: 1, B: 6, C: 9, D: 12) do not form pairs with \( x=3 \). The only answer answering the original problem remains \( (3, 3) \). However, no option fits.