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.

choose the answers i gave you

Image reference
A.
1

B.
6

C.
9

D.
12

1 answer

The equation \( y = x \) means that for any value of \( x \), \( y \) will be the same value.

If you are given that the x-coordinate is 3, you can substitute that value into the equation:

\[ y = 3 \]

This gives you the ordered pair \( (3, 3) \).

However, since you're asking to determine an additional ordered pair from the answers A (1), B (6), C (9), and D (12), it's important to understand that these numbers refer to possible y-values given you're looking for a pair where \( y = x \).

In the context of the problem and looking for pairs from the options provided:

  • If \( x = 6 \), then \( y = 6 \) giving us the ordered pair \( (6, 6) \).
  • If \( x = 9 \), then \( y = 9 \) giving us \( (9, 9) \).
  • If \( x = 12 \), then \( y = 12 \) giving us \( (12, 12) \).

Any of these options (B, C, or D) represent ordered pairs satisfying \( y = x \).

If you are specifically looking for another ordered pair where \( x \) is one of the answers provided, you would choose:

  • B. \( (6, 6) \)
  • C. \( (9, 9) \)
  • D. \( (12, 12) \)

So any of these would be an additional ordered pair satisfying \( y = x \). If you need to choose just one, please clarify which specific answer you were referring to.