Which ordered pairs represent points on the graph of this equation? Select all that apply.

y=x+4

1 answer

To determine which ordered pairs represent points on the graph of the equation \( y = x + 4 \), we can substitute the x-values of the ordered pairs into the equation and check if they yield the corresponding y-values.

Let's analyze the ordered pairs.

  1. Example Pair (0, 4):

    • Substitute \( x = 0 \):
    • \( y = 0 + 4 = 4 \)
    • This pair is on the graph.
  2. Example Pair (1, 5):

    • Substitute \( x = 1 \):
    • \( y = 1 + 4 = 5 \)
    • This pair is on the graph.
  3. Example Pair (2, 6):

    • Substitute \( x = 2 \):
    • \( y = 2 + 4 = 6 \)
    • This pair is on the graph.
  4. Example Pair (3, 7):

    • Substitute \( x = 3 \):
    • \( y = 3 + 4 = 7 \)
    • This pair is on the graph.
  5. Example Pair (4, 8):

    • Substitute \( x = 4 \):
    • \( y = 4 + 4 = 8 \)
    • This pair is on the graph.

To summarize, you can check any ordered pairs by substituting the x-value into the equation and verifying that the resulting y-value matches the one in the ordered pair. Any pair that satisfies this will be on the graph of \( y = x + 4 \). If you provide specific ordered pairs, I can help verify them individually.