How do I use the equation y = 2x to determine ordered pairs?

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To find ordered pairs using the equation y = 2x, you will need to choose different values for x and then calculate the corresponding y values. An ordered pair is typically written in the format (x, y).

Here’s a step-by-step method:

  1. Choose a value for x: You can select any real number. For example, let’s take x = 1.
  2. Plug it into the equation: Substitute 1 into the equation:
    y = 2(1).
  3. Calculate y: This yields y = 2. Thus, the ordered pair is (1, 2).
  4. Repeat for other values: Let’s try x = 0, x = -1, and x = 2:
    • For x = 0:
      y = 2(0) = 0, so the ordered pair is (0, 0).
    • For x = -1:
      y = 2(-1) = -2, so the ordered pair is (-1, -2).
    • For x = 2:
      y = 2(2) = 4, so the ordered pair is (2, 4).

Combining these results, you get the following ordered pairs:

  • (1, 2)
  • (0, 0)
  • (-1, -2)
  • (2, 4)

You can continue this method by selecting more x values to discover infinite ordered pairs that satisfy the equation y = 2x.

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